Abstract
Structures on differentiable manifolds have been very intensively studied in recent years both in differential topology as well as in differential geometry. Along with almost complex structures a systematic examination was begun of almost contact, affinor, symplectic, quaternion, and many other structures, a simple listing of which would take up considerable space. Not all of these structures are of equal value, but there is no doubt that the study of manifolds with various structures is of interest from both the global as well as the local point of view; moreover, for certain structures the possibility was outlined for applying them to various aspects of geometry and mechanics.
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Literature Cited
N. T. Abbasov, “Motion groups and symmetry images in elliptical spaces over alternion algebras,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp. 3–4.
M. A. Akivis, “The structure of multidimensional surfaces carrying a net of curvature lines,” Dokl. Akad. Nauk SSSR, 149(6): 1247–1249 (1963).
G. S. Barkhin, “Motion subgroups of a biaxial space,” Uch. Zap. Kazansk. Univ., 111(8): 105–124 (1951).
D. V. Beklemishev, “Differential geometry of spaces with an almost-complex structure,” in: Geometry. 1963, Progress in Science, VINITI, Akad. Nauk SSSR, Moscow (1965), pp. 165–212.
T. M. Boguslovskaya, “Symmetry images of complex and quaternion semiellip-tic spaces,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 21.
R. G. Bukharaev, “Theory of surfaces of a biaffine space and theory of congruences of a biaxial space,” Uch. Zap. Kazansk. Univ., 116(1): 7–9 (1956).
R. G. Bukharaev, “On the theory of surfaces in a biaffine space. 1,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 3, pp. 81–92 (1960).
V. V. Vishnevskii, “Certain questions in the geometry of B-spaces,” in: Collection of Aspirants’ Papers at Kazan Univ., Exact Sciences, Kazan (1962), pp. 137–147.
V. V. Vishnevskii, “A class of Kahlerian spaces,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1961, Math. Sci. Sect., Kazan (1962).
V. V. Vishnevskii, “Complex structures in B-spaces,” Uch. Zap. Kazansk. Univ., 123(1): 24–48 (1963).
V. V. Vishnevskii, “The Klein-Norden mapping and its application to the line geometry of non-Euclidean spaces,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1962, Math. Sci. Sect., Kazan (1963), pp. 27–30.
V. V. Vishnevskii, “Complex structures of a class of Kahler-Rashevskii spaces,” Dokl. Akad. Nauk SSSR, 149(2): 233–236 (1963).
V. V. Vishnevskii, “A biplanar space connected with the Riemann space V4,” in: Collection of Aspirants’ Papers at Kazan Univ., Math., Mech., Phys., Kazan (1964), pp. 41–45.
V. V. Vishnevskii, “A generalization of Shirokov-Rashevskii spaces,” Uch. Zap. Kazansk. Univ., 125(1): 60–73 (1965).
V. V. Vishnevskii, “More on complex structures in line geometry,” in: Proc. Seminar Vector Tensor Analysis and Their Applications to Geom., Mech., Phys., Issue 13, Moscow University (1966), pp. 467–492.
V. V. Vishnevskii, “A property of analytical functions over algebras and its application to the study of complex structures in Riemann spaces,” Uch. Zap. Kazansk. Univ., 126(1): 5–12 (1966).
V. V. Vishnevskii, “On the theory of Riemann spaces over tensor products of algebras,” in: Third. Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967).
V. V. Vishnevskii and A. P. Norden, “Complex representation of the invariants of a four-dimensional Riemann space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 2, pp. 176–182 (1959).
L. B. Vyzhgina, “The geometry of commutative algebras,” Uch. Zap. Mosk. Obl. Ped. Inst., 149(1): 67–78 (1964).
L. B. Vyzhgina, “Projective spaces over algebras of cyclic, anticyclic, and plural numbers,” Uch. Zap. Mosk. Obl. Ped. Inst., 173(1): 17–25 (1967).
V. A. Gaukhman, “Symmetric almost-symplectic affine connections on Hermitian manifolds,” Dokl. Akad. Nauk SSSR, 146(2): 277–280 (1962).
V. A. Gaukhman, “Γ-structures on principal fiber spaces,” Tr. Tomskogo Univ., 176:20–27 (1964).
V. A. Gaukhman, “Diagonalizable almost-tensor structures,” Usp. Mat. Nauk, 19(6): 226–228 (1964).
V. W. Guillemin and S. Sternberg, “Algebraic model of a transitive differential geometry,” Bull. Am. Math. Soc, 70(1): 16–47 (1964).
M. A. Dzhavadov, “Non-Euclidean geometries over algebras of alternions,” Uch. Zap. Kazansk. Gos. Univ., 115(10): 8–9 (1955).
M. A. Dzhavadov, “Projective spaces over algebras,” Uch. Zap. Azerb. Univ., No. 2, pp. 3–18 (1957).
M. A. Dzhavadov, “Non-Euclidean geometries over algebras,” Uch. Zap. Azerb. Univ., No. 4, pp. 3–16 (1957).
M. A. Dzhavadov, “Affine spaces over algebras,” Uch. Zap. Azerb. Univ., No. 7, pp. 3–21 (1957).
M. A. Dzhavadov, “Linear congruences in projective spaces over algebras of alternions,” Izv. Akad. Nauk Azerbad.SSR, No. 7, pp. 3–15 (1957).
M. A. Dzhavadov, “An application of a non-Euclidean geometry over the algebra of binary matrices to the projective geometry over the algebra of real matrices,” Uch. Zap. Azerb. Univ., Fiz.-Mat. i Khim. Ser., No. 3, pp. 11–16 (1960).
M. A. Dzhavadov and N.T. Abbasov, “Bicomplex and biquaternion hyperbolic spaces,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 1, pp. 9–15 (1964).
I. P. Egorov, “Motions in generalized differential-geometric spaces,” in: R. V. Gamkrelidze (ed.), Progress in Mathematics, Vol. 6: Topology and Geometry, Plenum Press, New York (1970), pp. 00.
L. V. Eremina, “The geometry of cosymmetry images,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 53.
Yu. B. Ermolaev, “Simultaneous reduction of a pair of bilinear forms to canonical form,” Dokl. Akad. Nauk SSSR, 132(2): 257–259 (1960).
Yu. B. Ermolaev, “Simultaneous reduction of a symmetric and a Hermitian form,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 2, pp. 10–23 (1961).
Yu. B. Ermolaev, “Simultaneous reduction of a pair of bilinear forms to canonical form over an arbitrary perfect field of characteristic ≠ 2,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1962, Math. Sci. Sect., Kazan (1963), pp. 25–27.
I. I. Zhelezina, “Quasi-Euclidean line geometry as a complex Euclidean geometry,” Uch. Zap. Mosk. Gos. Ped. Inst., No. 243, pp. 233–240 (1965).
I. I. Zhelezina, “Galillean line geometry as a dual Euclidean geometry,” Uch. Zap. Mosk. Gos. Ped. Inst., No. 243, pp. 241–247 (1965).
I. V. Zuev, “The real interpretation of the curves on a complex centroaffine plane,” Uch. Zap. Kazansk. Gos. Univ., 115(10): 13–15 (1955).
I. V. Zuev, “The real interpretation of the curves on a complex centroaffine plane,” Uch. Zap. Elabuzhsk. Gos. Ped. Inst., 3:17–34 (1958).
I. V. Zuev, “Straight lines on an algebraic surface with a double Königs net,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 5, pp. 52–61 (1960).
I. V. Zuev, “Application of analytic functions to the problem of the straight lines of a surface containing an imaginary double Königs net,” Tr. Kazansk. Aviats. Inst., No. 71, pp. 97–105 (1962).
I. V. Zuev, “Cyclotomic integral curves of the equation f (x, y, y’) = 0,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 6, pp. 64–71 (1963).
I. V. Zuev, “A class of vector fields,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1963, Math., Cybernet. and Probability Theory, Mech. Sect., Kazan (1964), pp. 34–35.
I.V. Zuev, “A class of solenoidal fields,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1963, Math., Cybernet. and Probability Theory, Mech. Sect., Kazan (1964), pp. 35–36.
I. V. Zuev, “A class of differential equations,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1963, Math., Cybernet. and Probability Theory, Mech. Sect., Kazan (1964), p. 37.
I. V. Zuev, “On the geometry of the zeros and poles of a rational function,” in: Summaries of the Scient. Conf. at Kazan Univ. in 1963, Math., Cybernet. and Probability Theory, Mech. Sect., Kazan (1964).
I. V. Zuev, “A biaxial invariant of a ruled surface,” Uch. Zap. Kazansk. Univ., 125(1): 74–78 (1965).
I. V. Zuev, “A class of flat vector fields,” Uch. Zap. Kazansk. Univ., 125(1): 79–87 (1965).
I. V. Zuev, “On the Lagrange equation,” Uch. Zap. Kazansk. Univ., 125(1): 88–99(1965).
M. A. Ivanova, “Fields of parallel area elements in a pseudo-Riemann space,” Uch. Zap. Arkhang. Gos. Ped. Inst., No. 4, pp. 85–109 (1959).
G. E. Izotov, “The joint reduction of a quadratic and a Hermitian form,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 1, pp. 143–159 (1957).
G. E. Izotov, “Second-order surfaces of a biplanar space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 1, pp. 89–102 (1958).
F. I. Kagan, “Tensors in tangent bundles,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp.71–72.
L. M. Karpova, “Semi-Riemann symmetric spaces over algebras,” Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekh. i Mat. Nauk, No. 4, pp. 45–49 (1964).
S. S. Kasimova, “Quadri-quaternion hyperbolic spaces,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 4, pp. 19–23 (1963).
S. S. Kasimova,” Quadri-quaternion symplectic spaces,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 2, pp. 48–55 (1964).
S. S. Kasimova, “Euclidean spaces over the algebra of real matrices,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 2, pp. 68–73 (1966).
S. S. Kasimova, “Quasi-Euclidean spaces over the algebra of real matrices,” Izv. Akad. Azerbad.SSR, Ser. Fiz.-Tekh. i Mat. Nauk, No. 4, pp. 16–22 (1966).
S.S. Kasimova, L. M. Ezhovo-Guseva, and N. D. Zablotskikh, “Dimensions of manifolds of tangent planes of Hermitian quadrics and of planes intersecting with the corresponding planes in Hermitian null-systems, in spaces over algebras,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 5, pp. 27–32 (1966).
S.S. Kasimova, “Limit non-Euclidean and symplectic spaces over the algebra of real matrices,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp. 75–76.
V. V. Kolyan, “On the theory of curves of a composition space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 3, pp. 43–55 (1968).
A. L. Krišciūnaitė, “Almost-contact structures and their analogs,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 83.
A. L. Krišciūnaitė, “Almost-contact structures on the hypersurfaces of a four-dimensional centrobiaffine space of elliptic and hyperbolic type,” Litovsk. Mat. Sb., 7(3): 423–438 (1967).
G.I. Kruchkovich and A. S. Solodovnikov, “Constant symmetric tensors in Riemann spaces,” Izv. Vysshikh. Uchebn. Zavedenu, Matematika, No. 3, pp. 147–158(1959).
L.N. Kuznetsova, “Automorphisms of pairs of null-systems in a complex projective space,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 88.
B. L. Laptev, “Petr Alekseevich Shirokov. Survey of published papers,” in: P. A. Shirokov, Selected Papers on Geometry, Kazan University, Kazan (1966), 432 pp.
G. F. Laptev, “Manifolds immersed in generalized spaces,” in: Proc. Fourth All-Union Math. Congr., Vol. 2, “Nauka,” Leningrad (1964), pp. 226–233.
G. F. Laptev, “Basic higher-order infinitesimal structures on a smooth manifold,” in: Proc. Geom. Seminar, Inst. Nauchn. Inform. Akad. Nauk SSSR, 1:139–189 (1966).
V. G. Lemlein, “Spaces of symmetric almost-symplectic connection,” Dokl. Akad. Nauk SSSR, 115(4): 655–658 (1957).
V. G. Lemlein, “The curvature tensor and certain types of spaces of symmetric almost-symplectic connection,” Dokl. Akad. Nauk SSSR, 117(5): 755–758 (1957).
E. K. Leonťev, “On Chebyshev compositions,” Uch. Zap. Kazansk. Univ., 126(1): 23–40 (1966).
E. K. Leonťev, “On the general theory of compositions in spaces of affine-connection,” in: Summaries Scient. Aspirants Conf. at Kazan Univ. in 1965, Math., Mech. (reports abstracts), Kazan (1967), pp. 26–28.
E. K. Leonťev, “The classification of special sheaves and compositions of multidimensional spaces,” Izv. Vysshikh. Uchebn. Zavedenu, Matematika, No. 5, pp. 40–51 (1967).
L. B. Lobanova, “Non-Euclidean spaces over algebras of cyclic, anticyclic, and plural numbers,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp. 98–99.
L. M. Markina, “Dual non-Euclidean spaces,” in: Third Interuniv. Scient. Cong. Prob. Geom. (report abstracts), Kazan (1967), p. 110.
L. A. Matevosyan, “Surfaces in reducible spaces,” Aikakan SSR Gitutyunneri Akademian Tegekagir, Matematika, 1(6): 374–391 (1966).
L. A. Matevosyan, “A class of surfaces in reducible spaces,” Aikakan SSR Gitutyunneri Akademian Tegekagir, Matematika, 2(2): 83–89 (1967).
E. G. Neifel’d, “The geometry of Appell space,” in: Collections of Aspirants’ Papers at Kazan Univ., Exact Sciences, Kazan (1962), pp. 148–157.
E. G. Neifel’d, “The geometry of conformai-Appell space,” Uch. Zap. Kazansk. Univ., 123(1): 128–140 (1963).
E. G. Neifel’d, “Normalized space over the complex number field and its generalizations,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 122.
L. S. Nikitina, “Semi-antiquaternion projective geometry,” in: Third Interuniv. Scient. Conf. Prob. Geom. (reports abstracts), Kazan (1967), p. 122.
A. P. Norden, “Zero-curvature surfaces of a biaxial space,” Dokl. Akad. Nauk SSSR, 58:1597–1600 (1947).
A. P. Norden, “Space of linear congruence,” Mat. Sb., 24:429–455 (1949).
A. P. Norden, “A biaffine space and its mapping onto itself,” Uch. Zap. Kazansk. Univ., 112(10): 3–11 (1952).
A. P. Norden, “Theory of curves of a biaffine space,” Uch. Zap. Kazansk. Univ., 112(10): 13–26 (1952).
A. P. Norden, “Self-conjugate images of a biaxial space,” Uch. Zap. Kazansk. Univ., 114(2): 3–12 (1954).
A. P. Norden, “Theory of surfaces of a biaffine space,” Uch. Zap. Kazansk. Univ., 114(2): 13–28 (1954).
A. P. Norden, “Complex representation of the tensors of a biplanar space,” Uch. Zap. Kazansk. Univ., 114(8):45–53 (1954).
A. P. Norden, “The geometry of biaxial and biaffine spaces,” Uch. Zap. Kazansk. Gos. Univ., 115(10): 12 (1955).
A. P. Norden, “The method of normalization and its applications to the geometry of affinely connected spaces,” in: Proc. Third All-Union Math. Congr., 1956, Vol. 3, Akad. Nauk SSSR, Moscow (1958), pp. 418–423.
A. P. Norden, “Geometric interpretation of certain concepts of spinor analysis,” in: Proc. Third All-Union Math. Congr., Vol. 1, Akad. Nauk SSSR, Moscow (1956), p. 160.
A. P. Norden, “Complex representation of the tensors of a Lorentz space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 1, pp. 156–163 (1959).
A. P. Norden, “A class of four-dimensional A-spaces,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 4, pp. 145–157 (1960).
A. P. Norden, “A class of minimal surfaces of a four-dimensional space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 3, pp. 91–97 (1962).
A. P. Norden, “Certain possible directions of development of line geometry,” Uch. Zap. Kazansk. Univ., 123(1): 141–151 (1963).
A. P. Norden, “Spaces of Cartesian Composition,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 4, pp. 117–128 (1963).
A. P. Norden, “Biaxial geometry and its generalizations,” in: Proc. Fourth All-Union Math. Congr., 1961, Vol. 2, “Nauka,” Leningrad (1964), pp. 236–243.
S. L. Levzner, “The geometry of a pair of quadrics in a projective space,” in: Third Interuniv. Scient. Conf. Prob. Geom. (reports abstracts), Kazan (1967), pp. 127–128.
D. B. Persits, “Octave geometries,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 129.
B. Petkanchin, “An elliptic system of lines in a biaxial geometry,” Izv. Mat. Inst., Bulgar. Akad. Nauk, 2(2): 136–161 (1957).
B. Petkanchin, “A hyperbolic system of lines in a parabolic biaxial geometry,” Godishnik Sofiisk. Univ. Mat. Fak., 58:171–194 [1963–1964 (1965)].
N. D. Petsko, “Projective metrizations and complex numbers,” Uch. Zap. Kolomensk. Ped. Inst., 8:127–143 [1964 (1965)].
N. D. Petsko, “Biquaternion elliptic spaces and their application to real geometries. Projective metrics,” Uch. Zap. Kolomensk. Ped. Inst., 8:144–164 [1964 (1965)].
N. M. Pisareva, “Symmetric, almost-reducible, and reducible Weyl spaces,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 6, pp. 137–142 (1964).
N. M. Pisareva, “Almost-reducible and symmetric almost-reducible spaces of affine connection,” Mat. Sb., 66(1): 119–126 (1965).
N. M. Pisareva, “Affinely connected spaces admitting of a transitive motion group whose stationary linear subgroup is completely reducible,” Mat. Sb., 68(1): 75–80 (1965).
A. S. Podkovyrin, “A class of four-dimensional minimal surfaces of a six-dimensional biaffine space,” in: Materials Scient. Conf. Kazan State Pedagogical Inst., 1962, Kazan (1963), pp. 427–429.
A. S. Podkovyrin, “A class of four-dimensional minimal surfaces in a six-dimensional biaffine space,” Volzhsk. Mat. Sb., No. 2, pp. 245–250 (1964).
A. S. Podkovyrin, “Minimal X4 of the space B6, admitting of a mapping onto developable X2 of a complex A3,” Uch. Zap. Kazansk. Univ., 125(1): 121–129 (1965).
A. S. Podkovyrin, “A class of minimal surfaces of a six-dimensional space,” KVKIU, Trudy Ychilishcha, Issue 1, Kazan (1967).
A. S. Podkovyrin, “Hypersurfaces of a unitary space. I,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 8, pp. 41–52 (1967).
A. S. Podkovyrin, “Hypersurfaces of a unitary space. II,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 9, pp. 75–85 (1967).
M. Prvanovich, “Riemann extensions as generalized biplanar spaces,” Publ. Inst. Math., 6:9–16 (1966).
M. Rakhula, “On a higher-order differential geometry,” Tartu Ulikooli Toimetised, Issue 150, pp. 122–131 (1964).
P. K. Rashevskii, Geometric Theory of Differential Equations, Moscow (1947).
P. K. Rashevskii, “Scalar field in fiber space,” in: Proc. Seminar Vector Tensor Analysis, Issue 6, pp. 225–248 (1948).
B. A. Rozenfel’d, Non-Euclidean Geometries, Gostekhizdat, Moscow (1955), 744 pp.
L. V. Rumyantseva, “Quaternion symplectic geometry,” in: Proc. Seminar Vector Tensor Analysis with Appl. to Geom., Mech., Phys., Issue 12, Moscow University (1963), pp. 287–314.
L. V. Rumyantseva, “Quadriquaternion elliptic spaces,” Uch. Zap. Azerb. Univ., Ser. Fiz.-Mat. Nauk, No. 3, pp. 35–38 (1963).
L. V. Sabinin, “The geometry of subsymmetric spaces,” Nauchn. Dokl. Vysshikh. Shkoly, Fiz.-Mat. Nauk, No. 3, pp. 46–49 (1958).
L. V. Sabinin, “The structure of the motion groups of uniform Riemann spaces with axial symmetry,” Nauchn. Dokl. Vysshikh. Shkoly, Fiz.-Mat. Nauk, No. 6, pp. 127–138 (1958).
L. V. Sabinin, “Geometry of trisymmetric Riemann spaces,” Sibirsk. Mat. Zh., 2(2): 266–278 (1961).
I. N. Semenova, “Symmetry images in binary Hermitian quasielliptic spaces,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp. 149–150.
G. Stanilov, “Geometric interpretation of certain differential invariants of one-parameter systems of lines in a biaxial geometry,” Izv. Mat. Inst., Bulgar. Akad. Nauk, 6:95–99(1962).
G. Stanilov, “Minimal lines in a biaxial geometry,” Fiz.-Mat. Spisanie, 7(1): 51–53 (1964).
G. Stanilov and Yu. B. Ivanov, “Geometric interpretations of certain differential forms and invariants in the biaxial theory of surfaces,” Dokl. Bulgar. Akad. Nauk, 18(7): 601–602 (1965).
N. E. Steenrod, The Topology of Fibre Bundles, Princeton University Press, Princeton, N. J. (1951).
N. V. Talantova, “Biaxial space of parabolic type,” Uch. Zap. Kazansk. Univ., 117(9): 30–34 (1957).
N. V. Talantova, “Biaxial space of parabolic type,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 3, pp. 214–228 (1959).
N. V. Talantova, “One-term motion subgroups of a biaxial space of parabolic type,” Tr. Kazansk. Aviats. Inst., No. 68, pp. 21–33 (1962).
N. V. Talantova, “Null-conjugate images of a biaxial space of parabolic type,” Uch. Zap. Kazansk. Univ., 123(1): 152–171 (1963).
N. V. Talantova, “Classification of the subgroups of the motion group of a biaxial space of parabolic type,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 165.
T. Temirov, “Developable direction field and motions in affinely connected spaces,” Tr. Samarkandsk. Univ., No. 151, pp. 127–138 (1964).
V. D. Tret’yakov, “On the theory of curves of a biaxial space,” Uch. Zap. Kazansk. Univ., 115(10): 15–16 (1955).
M. M. Tsalenko, “Flag structures,” Uch. Zap. Mosk. Gos. Ped. Inst., No. 243, pp. 186–191 (1965).
M. M. Tsalenko, “Differentiable manifolds with a tensor structure,” Usp. Mat. Nauk, 22(1)-.173–176 (1967).
Ya. L. Shapiro, “Several path systems imbedded in a Riemann space,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 3, pp. 166–172 (1963).
B. N. Shapukov, “Invariant manifold of a bilinear metric space,” Uch. Zap. Kazansk. Univ., 125(1): 141–160 (1965).
L. V. Shestyreva, “Symmetry images in a three-dimensional quaternion symplec-tic space,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), pp. 192–193.
A. P. Shirokov, “A property of covariantly constant affinors,” Dokl. Akad. Nauk SSSR, 102(3): 461–464 (1955).
A. P. Shirokov, “A class of spaces over algebras,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 1, pp. 163–170 (1961).
A. P. Shirokov, “Certain real realizations of spaces over algebras,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 5, pp. 117–127 (1961).
A. P. Shirokov, “Classification of the motion groups of a biaxial space of elliptic type,” Uch. Zap. Kazansk. Univ., 123(1): 208–221 (1963).
A. P. Shirokov, “Spaces over associative unital algebras,” Uch. Zap. Kazansk. Univ., 123(1): 222–247 (1963).
A. P. Shirokov, “Symmetric spaces defined by algebras,” Izv. Vysshikh. Uchebn. Zavedenii, Matematika, No. 6, pp. 159–171 (1963).
A. P. Shirokov, “On the theory of spaces defined by commutative algebras,” Uch. Zap. Kazansk. Univ., 125(1): 165–182 (1965).
A. P. Shirokov, “A type of G-structure defined by algebras,” in: Proc. Geom. Seminar, Inst. Sci. Inform. Akad. Nauk SSSR, 1:425–456 (1966).
A. P. Shirokov, “Symmetric spaces defined by fourth-order commutative algebras,” Uch. Zap. Kazansk. Univ., 126(1): 60–80 (1966).
A. P. Shirokov, “On pure tensors and invariant subspaces in manifolds with almost-algebraic structure,” Uch. Zap. Kazansk. Univ., 126(1): 81–89 (1966).
R. N. Shcherbakov, “Differential line geometry of a three-dimensional space,” in: R. V. Gamkrelidze (ed.), Progress in Mathematics, Vol. 6: Topology and Geometry, Plenum Press, New York (1970), pp.
I. M Yaglom, “Some algebraic peculiarities of a real symplectic space,” in: Proc. Third All-Union Math. Congr., Vol. 1, Akad. Nauk SSSR, Moscow (1956), pp. 40–41.
I. M. Yaglom, Complex Numbers and Their Application in Geometry, Fizmatgiz, Moscow (1963), p. 192.
E. U. Yasinskaya, “Metric invariants of linear complexes of real non-Euclidean and seminon-Euclidean spaces and Hermitian quadrics and linear complexes of Hermitian non-Euclidean and seminon-Euclidean spaces,” in: Third Interuniv. Scient. Conf. Prob. Geom. (report abstracts), Kazan (1967), p. 199.
T. Adati, “On a Riemannian space admitting a field of planes,” Tensor, 14: 60–67 (1963).
T. Adati and A. Kandatu, “On a Riemannian space with a field of null planes,” Math. Japon., Vol. 7 (May): 95–102 (1962).
H. Akbar-Zadeh, “Sur les automorphismes de certaines structures presque cosymplectiques,” Can. Math. Bull., 8(1): 39–57 (1965).
H. Akbar-Zadeh and E. Bonan, “Structure presque kahlérienne naturelle sur le fibre tangent à une variété fins1érienne,” Compt. Rend. Acad. Sci., 258(23): 5581–5582 (1964).
M. Ako, “Nonlinear connection in vector bundles,” Kodai Math. Sem. Repts., 18(4): 307–316 (1966).
A. Aragnol, “Connexions euclidiennes canoniquement associées à certaines structures presque — produit,” Compt. Rend. Acad. Sci., 242(3):339–341 (1956).
M. Badea, “Spatii A3 cu connexiune affina constata, local euclidiene si al-gebrele asociate,” Studii Si Cercetǎri Mat. Acad. RPR, 9(2): 559–590 (1958).
M. Badea, “Spatii A3 cu conexiune afinǎ constantǎ local euclidiene si al-gebrele asociate,” Lucrǎrile Consf. Geometrie Si Topol. 1958. Bucuresti, Acad. RPR, pp. 153–158 (1962).
C. de Barras, -Variétés hor — symplectiques,” Compt. Rend. Acad. Sci., 259(6): 1291–1294 (1964).
C. de Barras, “Variétés presque hor-complexes,” Compt. Rend. Acad. Sci., 260(6): 1543–1546 (1965).
D. Bernard, “Sur la structure des pseudogroupes de Lie,” Compt. Rend. Acad. Sci., 239(20): 1263–1265 (1954).
D. Bernard, “Sur les G-structures complexes,” Compt. Rend. Acad. Sci., 243(23): 1821–1824 (1956).
D. Bernard, “Définition globale du tenseur de structure d’une G-structure,” Compt. Rend. Acad. Sci., 247(19): 1546–1549 (1958).
D. Bernard, “Sur la géométrie différentielle des G-structures,” Ann. Inst. Fourier, 10:151–270 (1960).
E. Bonan, “Structures presque quaternioniennes,” Compt. Rend. Acad. Sci., 258:792–795 (1964).
E. Bonan, “Connexions presque quaternioniennes,” Compt. Rend. Acad. Sci., 258(6): 1696–1699 (1964).
E. Bonan, “Structures presque hermitiennes quaternioniennes,” Compt. Rend. Acad. Sci., 258(7): 1988–1991 (1964).
E. Bonan, “Tenseur de structure d’une variété presque quaternionienne,” Compt. Rend. Acad. Sci., 259(1): 45–48 (1964).
E. Bonan, “Structure presque quaternale sur une variété différentiable,” Compt. Rend. Acad. Sci., 260(21): 5445–5448 (1965).
W. Boothby, “Homogeneous complex contact manifolds,” Different Creow Providence, R. I., Am. Math. Soc. (1961), pp. 144–54.
W. Boothby and H. C. Wang, “On contact manifolds,” Ann. Math., 68(3): 721–734 (1958).
F. Brickell and R. S. Clark, “Conformally Riemannian structures. I,” Bull. Soc. Math. France, 90(1): 15–26 (1962).
F. Brickell and R.S. Clark, “Conformally Riemannian structures. II,” Bull. Soc. Math. France, 90(1): 27–38 (1962).
M. Bruni, “Relazioni tra metrica euclidea ed hermitiana in uno spazio vettoriale quaternionale,” Atti Accad. Naz. Lincei. Rend. C1. Sci. Fis., Mat. Natur., 38(4): 488–491 (1965).
M. L. Bruschi, “Un théorème de décomposition pour les variétés cosymplectiques homogenes,” Compt. Rend. Acad. Sci., 257(26): 4120–4121 (1963).
E. Cartan, “Sur la structure des groupes infinis de transformations,” Ann. Ecole Normale, 21:153–206 (1904); 21:219–308 (1905).
E. Cartan, “La structure des groupes infinis,” in: Oeuvres Complètes, Paris (1953), Vol. II, pp. 1335–1358.
C. Cattaneo, “Proiezioni naturali e derivazione transversa in una varietà riemanniana a metrica iperbolica normale,” Ann. Mat. Pura ed Appl., 48:361–386 (1959).
C. Cattaneo, “Dèrivation transverse et grandeurs relatives en relativité générale,” Compt. Rend. Acad. Sci., 248(2): 197–199 (1959).
C. Cattaneo, “Principi di conservazione e teoremi di Gauss in relatività generale,” Rend. Mat. e Applic, 21(3–4):373–405 (1962).
I. Cattaneo-Gasparini, “Connessioni adattate a una struttura quasi prodotto,” Ann. Mat. Pura ed Appl., 64:133–150 (1963).
I. Cattaneo-Gasparini, “Dérivée covariante ‘liée’ dans une Vn + 1 riemannienne à structure presque produit,” Compt. Rend. Acad. Sci., 256(10): 2089–2091 (1963).
I. Cattaneo-Gasparini, “Proiezioni dei tensori du curvatura di una varietà riemanniana a metrica iperbolica normale,” Rend. Mat. e Applic, 22(1): 127–146 (1963).
I. Cattaneo-Gasparini, “Struttura metrica adattata a una struttura quasi prodotto,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. Natur., 36(5): 623–628 (1964).
I. Cattaneo-Gasparini, “Sulle G-strutture di una Vn definite da una 11-formo complessa a valori vettoriali,” Ann. Mat. Pura ed Appl., 65: 81–96 (1964).
I. Cattaneo-Gasparini, “Su una condizione necessaria per l’esistenza globale di un campo di r-piani su una varietà differenziabile,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. Natur, 42(5): 634–639 (1967).
B. Cenkl, “On the G-structure of higher order,” Casop. Pestov. Mat., 90(1): 26–32 (1965).
Shiing-shen Chern, “Pseudo-groupes continus infinis,” in: Colloq. Internat. Centre Nat. Rech. Scient. 52, Strasbourg, 1953, Paris (1953), pp. 119–136.
Shiing-shen Chern, “On a generalization of Kähler geometry,” in: Algebra, Geometry, and Topology, Princeton University Press, Princeton, N. J. (1957), pp. 103–121.
Shiing-shen Chern, “Sur les métriques riemanniennes compatibles avec une réduction du groupe structural,” Semin. Topol. et Géom. Différent. Ch. Ehresmann. Fac. Sci. Paris, 1958–1960 (1961).
H. Chu and S. Kobayashi, “The automorphism group of a geometric structure,” Trans. Am. Math. Soc, 113(1): 141–150 (1964).
R. S. Clark, “Special geometric object fields on a differentiate manifold,” Tensor, 13:60–70(1963).
R. S. Clark and M. R. Bruckheimer, “Sur les structures presque tangentes,” Compt. Rend. Acad. Sci., 251(5): 627–629 (1960).
R. S. Clark and M. R. Bruckheimer, “Tensor structures on a differentiable manifold,” Ann. Math. Pura ed Appl., 54:123–141 (1961).
A. Crumeyrolle, “Variétés différentiables à coordonnées hypercomplexes. Application à une géométrisation et à une généralisation de la théoriè d’Einstein-Schrodinger,” Ann. Fac. Sci. Univ. Toulouse Sci. Math. et Sci. Phys., 26:105–137 [1962 (1964)].
P. Dazord, “Tenseur de structure d’une G-structure dérivée,” Compt. Rend. Acad. Sci., 258(10): 2730–2733 (1964).
R. Debever, “Connexions métriques et champs d’éléments plans paralléles dans les variétés quatre dimensions,” Bull. C1. Sci. Acad. Roy. Belg., 44(1): 56–61 (1958).
J. Depunt, “Sur la géométrie ternionienne dans le plan,” Bull. Soc. Math. Belg., 11(2): 123–133 (1959).
P. Dombrowski, “On the geometry of the tangent bundle,” J. Reine und Angew. Math., 210(1–2): 73–88 (1962).
Vincent P. Droz, “Sur certaines structures résultant de la notion d’échangeabilité,” Compt. Rend. Acad. Sci., 262(26): A1484–A1487 (1966).
C. Ehresmann, “Espaces fibrés de structures comparatables,” Académie des Sciences, Paris, Compt. Rend. Acad. Sci., 214:141–147 (1942).
C. Ehresmann, “Les prolongements d’une variété différentiable. I. Calcul des jets, prolongement principal,” Compt. Rend. Acad. Sci., 233: 598–600 (1951).
C. Ehresmann, “Les prolongements d’une variété différentiable. II, L’espace des jets d’ordre r de Vn dans Vm,” Compt. Rend. Acad. Sci., 233: 777–779 (1951).
C. Ehresmann, “Les prolongements d’une variété différentiable. III. Transitivité des prolongements,” Compt. Rend. Acad. Sci., 233:1081–1083 (1951).
C. Ehresmann, “Les prolongements d’une variété différentiable. IV. Élements de contact et éléments d’enveloppe,” Compt. Rend. Acad. Sci., 234:1028–1030 (1952).
C. Ehresmann, “Les prolongements d’une variété différentiable. V. Covariants différentiels et prolongements d’une structure infinitésimale,” Compt. Rend. Acad. Sci., 234:1124–1425 (1952).
C. Ehresmann, “Structures locales et structures infinitésimales,” Compt. Rend. Acad. Sci., 234: 587–589 (1952).
C. Ehresmann, “Sur les structures infinitésimales réguliéres,” in: Proc. Internat. Congr. Mathematicians, 1954, Amsterdam, Vol. 1, Croningen, Amsterdam (1957).
H. A. Eliopoulos, “Structures presque tangentes sur les variétés différentiables,” Compt. Rend. Acad. Sci., 255(14): 1563–1565 (1962).
H.A. Eliopoulos, “Euclidean structures compatible with almost-tangent structures,” Bull. Cl. Sci. Acad. Roy. Belg., 50(10): 1174–1182 (1964).
H.A. Eliopoulos, “On the general theory of differentiable manifolds with almost-tangent structure,” Can. Math. Bull., 8(6): 721–748 (1965).
H. A. Eliopoulos, “Structures r-tangentes sur les variétés différentiables,” Compt. Rend. Acad. Sci., 263(13): A413–A416 (1966).
A. Frölicher and A. Nijenhuis, “Theory of vector-valued differential forms. Part I. Derivations in the graded ring of differential forms,” Proc. Koninkl. Ned. Akad. Wetenschap., A59(3): 338–359 (1956).
A. Fröhlicher and A. Nijenhuis, “Theory of vector-valued differential forms. Part II. Almost-complex structures,” Proc. Koninkl. Ned. Akad. Wetenschap., A61(4): 414–429 (1958).
A. Fröhlicher and A. Nijenhuis, “Invariance of vector form operations under mappings,” Comment. Math. Helv., 34(3): 227–248 (1960).
A. Fujimoto, “On the structure tensor of G-structure,” Mem. Coll. Sci. Univ. Kyoto, A33(l): 157–169 (1960).
A. Fujimoto, “On automorphisms of G-structures,” J. Math. Kyoto Univ. (formerly Mem. Coll. Sci. Univ. Kyoto, Ser. A, Math.), 1(1): 1–20 (1961).
A. Fujimoto, “Conformai geometry of G-structures. I,” Tensor, 15(3): 181–190 (1964).
A. Fujimoto, “Conformai geometry of G-structures. II,” Tensor, 15(3): 191–199 (1964).
T. Fujitani, “Complex-valued differential forms on normal contact riemannian manifolds,” Tohoku Math. J., 18(4): 349–361 (1966).
T. Fukami, “Invariant tensors under the real representation of symplectic group and their applications,” Tohoku Math. J., 10(1): 81–90 (1958).
T. Fukami, “Affine connections in almost-product manifolds with some structures,” Tohoku Math. J., 11(3): 430–446 (1959).
S. Goldberg, “Rigidité de variétés de contact à courbure positive,” Compt. Rend. Acad. Sci., 261(9): 1936–1939 (1965).
V. G. Gorciu, “Asupra unor algebre neasociative A3,” Studii Si Cercetǎri Mat. Acad. RPR, 16(6): 747–751 (1964).
J. W. Gray, “A theory of pseudogroups with applications to contact structures,” Thesis, Stanford University (1957). Technical Report ONR.
J. W. Gray, “Contact structures,” Abstr. Short Communs. Internat. Congress Math, in Edinburgh, University of Edinburgh (1958), p. 113.
J. W. Gray, “Some global properties of contact structures,” Ann. Math., 69(2): 421–450(1959).
P. Griffiths, “Deformations of G-structures. Part A. General theory of deformations,” Math. Ann., 155(4): 292–315 (1964).
P. Griffiths, “Deformations of G-structures. Part B. Deformations of geometric G-structures,” Math. Ann., 158(5): 328–351 (1965).
P. Griffiths, “On the existence of a locally complete germ of deformation of certain G-structures,” Math. Ann., 159(3): 151–171 (1965).
V. Guillemin, “The integrability problem for G-structures,” Trans. Am. Math. Soc., 116(4): 544–560 (1965).
V. Guillemin and I. Singer, “Differential equations and G-structures,” in: Proc. US—Japan Seminar Different. Geometry, Kyoto, 1965, Nippon Hyoronsha Co., Ltd., Tokyo (1966), pp. 34–36.
V. Guillemin and S. Sternberg, “Sur les systèmes de formes différentielles,” Ann. Inst. Fourier, 13(2): 61–74 (1963).
T. Hangan, “Asupra diferentierilor formelor tensoriale asociate unui tensor mixt de ordinul al doilea,” An. Univ. Bucuresti. Ser. Stint. Natur., 10(29): 209–224 (1961).
T. Hangan, “Sur la forme canonique d’un tenseur mixte du second ordre,” Compt. Rend. Acad. Sci., 255(3):452–453 (1962).
T. Hangan, “On the canonical form of a second-order mixed tensor,” Rev. Math. Pures. et Appl. (RPR), 7(4): 617–626 (1962).
T. Hangan, “Géométrie différentielle grassmannienne,” Rev. Roumaine Math. Pures et Appl., 11(5): 519–531 (1966).
T. Hangan, “On the Riemannian structure of the real and complex Grassmann manifolds,” Tensor, 18(1):26–31 (1967).
S. Hashimoto, “Operators on the almost-complex manifolds which admit quaternion structure,” Sci. Rept. Fac. Literat. and Sci. Hirosaki Univ., 7(2): 37–41 (1960).
S. Hashimoto, “On differentiable manifolds which admit (Φ(1),Φ(2),Φ(3),...Φ(r),) structures,” Sci. Rept. Fac. Literat. and Sci. Hirosaki Univ., 8(2): 67–73 (1961).
S. Hashimoto, “On the differentiable manifolds with certain almost-contact structures which are similar to the quaternion structures,” Sci. Rept. Fac. Literat. and Sci. Hirosaki Univ., 8(2): 74–78 (1961).
S. Hashimoto, “On differentiable manifold with almost-quaternion contact structure. I,” Sci. Rept. Fac Literat. and Sci. Hirosaki Univ., 8(1): 1–7 (1961).
S. Hashimoto, “On differentiable manifold with almost-quaternion contact structure. II,” Sci. Rept. Fac. Literat. and Sci. Hirosaki Univ., 8(2): 79–87 (1961).
S. Hashimoto, “On differentiable manifold with almost-quaternion contact structure. III,” Sci. Rept. Fac. Literat, and Sci. Hirosaki Univ., 10(1): 5–9 (1961).
S. Hashimoto, “On differentiable manifold with almost-quaternion contact structure,” Tensor, 15(3): 258–268 (1964).
S. Hashimoto, “On the differentiable manifold Mn admitting tensor fields (F, G) of type (1, 1) satisfying F3 + F = 0, G3 + G = 0, FG = ~GF, and F2 = G2,” Tensor, 15(3): 269–274 (1964).
S. Hashimoto and T. Ichinohe, “On a manifold induced from the differentiable manifold with the almost-contact metric structure,” Sci. Rept. Fac. Literat. and Sci. Hirosaki Univ., 9(2): 62–71 (1962).
Y. Hatakeyama, “On the existence of Riemann metrics associated with a 2-form of rank 2r,” Tohoku Math. J., 14(2): 162–166 (1962).
Y. Hatakeyama, “Some notes on differentiable manifolds with almost-contact structures,” Tohoku Math. J., 15(2): 176–181 (1963).
Y. Hatakeyama, “On the integrability of a structure defined by two semisimple 0-deformable vector l-forms which commute with each other,” Tohoku Math. J., 17(2): 171–177 (1965).
Y. Hatakeyama, “Some notes on the group of automorphisms of contact and symplectic structures,” Tohoku Math. J., 18(3): 338–347 (1966).
Y. Hatakeyama, Y. Ogawa, and S. Tanno, “Some properties of manifolds with contact metric structure,” Tohoku Math. J., 15(1): 42–48 (1963).
K. Havlicek, “O diferenciálni geometrii jednoparametrické soustavy přimek v dvojosé geometrii,” Časop. Pěstov. Mat., 87(1): 103 (1962).
R. Hermann, “Sur les automorphismes infinitésimaux d’une G-structure,” Compt. Rend. Acad. Sci., 239(25): 1760–1761 (1954).
F. Hirzebruch, “Über die quaternionalen projektiven Räume,” Sitzber. Math.-Nat. K1. Bayer. Akad. Wissenschap., pp. 301–312 [1953 (1954)].
Chorng-Shi Houh, “Affine connections in an almost-product manifold,” Tensor, 12(2): 167–184 (1962).
Chorng-Shi. Houh, “The integrability of a structure on a differentiable manifold,” Tohoku Math. J., 17(1): 72–75 (1965).
Chen-Jung Hsu, “Note on the integrability of a certain structure on differentiable manifold,” Tohoku Math. J., 12(2): 349–360 (1960).
Chen-Jung Hsu, “On some structures which are similar to the quaternion structure,” Tohoku Math. J., 12(3): 403–428 (1960).
Chen-Jung Hsu, “On some properties of π -structures on differentiable manifold,” Tohoku Math. J., 12(3): 429–454 (1960).
Chen-Jung Hsu, “Note on (φ, ξ, η])-structure,” Tohoku Math. J., 13(3):434–442 (1961).
Chen-Jung Hsu, “On Walker differentiation in differentiable manifolds with r — π-structure,” Tohoku Math. J., 14(4): 332–343 (1962).
Chen-Jung Hsu, “Remarks on certain almost-product spaces,” Pacif.J. Math., 14(1): 163–176 (1964).
Chen-Jung Hsu and Chorng-Shi Houh, “Note on the integrability conditions of (φ, ψ)-structures,” Tohoku Math. J., 18(4): 368–377 (1966).
X. Hubaut, “Construction d’une droite projective sur une algèbre associative,” Bull. C1. Sci. Acad. Roy. Belg., 50(6): 618–623 (1964).
Y. Ichijyo, “Differendable manifolds admitting complex distributions,” J.Math. Kyoto Univ., 5(1): 67–85 (1965).
Y. Ichijyo, “On almost-contact metric manifolds admitting parallel fields of null planes,” Tohoku Math. J., 16(2): 123–129 (1964).
Y. Ichijyo, “Analytic manifolds admitting parallel fields of complex planes,” J. Math. Kyoto Univ., 4(2): 369–380 (1965).
Y. Ichijyo, “Almost-complex structures of tangent bundles and Finsler metrics,” J. Math. Kyoto Univ., 6(3): 419–452 (1967).
S. Ishihara, “Holomorphically projective changes and their groups in an almost-complex manifold,” Tohoku Math. J., 9(3): 273–297 (1957).
S. Ishihara, “On a tensor field φ h i satisfying φ P w ± 1,” Tohoku Math. J., 13(3): 443–454(1961).
S. Ishihara, “Normal structure j satisfying f 3+ f = 0,” Kodai Math. Semin. Kept., 18(1): 36–47 (1966).
Ju. B. Ivanov, “Flächen in der zweiachsigen Geometrie,” Compt. Rend. Bulgare Acad. Sci., 14(1): 11–13 (1961).
Ju. B. Ivanov, “Die geodätischen Linien erster Art in der zweiachsigen Geometrie als Minimallinien,” Compt. Rend. Bulgare Acad. Sci., 15(7): 697–698 (1962).
Ju. B. Ivanov, “Über die Kongruenz der Flächen in der hyperbolischen zweiachsigen Geometrie,” Compt. Rend. Bulgare Acad. Sci., 17(8): 685–688 (1964).
A. Kandatu, “Integrability of a field of partially null planes in a Riemannian space,” Tensor, 14:68–70 (1963).
A. Kandatu, “Tangent bundle of a manifold with a nonlinear connection,” Kodai Math. Semin. Rept., 18(4): 259–270 (1966).
S. Kashiwabara, “The structure of a Riemannian manifold admitting a parallel field of one-dimensional tangent vector subspaces,” Tohoku Math. J., 11(3): 327–350(1959).
S. Kashiwabara, “The structure of a Riemannian manifold admitting a parallel field of tangent vector subspaces,” Tohoku Math. J., 12(1): 102–119 (1960).
S. Kashiwabara, “On the parallelisability under Riemannian metrics of direction fields over 3-dimensional manifolds,” Tohoku Math. J., 14(1): 24–47 (1962).
S. Kashiwabara, “On the parallelisability under Riemannian metrics of direction fields over 3-dimensional manifolds. II,” Tohoku Math. J., 15(4): 332–334 (1963).
Y. Kerbrat, “Variétés à structure presque-produit tangente et connexions spéciales,” Compt. Rend. Acad. Sci., AB262(4): A237–A239 (1966).
J. Klein, “Opérateurs différentiels sur les variétés presque tangentes,” Compt. Rend. Acad. Sci., 257(17): 2392–2394 (1963).
E. Kobayashi, “A remark on the Nijenhuis tensor,” Pacif. J. Math., 12(3): 963–977 (1962).
E. Kobayashi, “Errata to the paper ‘A remark on the Nijenhuis tensor’,” Pacif. J. Math., 12(4): 1466 (1962).
E. Kobayashi, “A remark on the existence of a G-structure,” Proc. Am. Math. Soc., 16(6): 1329–1331 (1965).
S. Kobayashi, “Remarks on complex contact manifolds,” Proc. Am. Math. Soc, 10(1): 164–167 (1959).
S. Kobayashi, “Canonical forms on frame bundles of higher-order contact,” in: Proc. Symposia in Pure Math., Vol. 3, Differential Geometry. A. M. S. (1961), pp. 186–193.
S. Kobayashi and T. Nagano, “On a fundamental theorem of Weyl-Cartan on G-structures,” J. Math. Soc. Japan, 17(1): 84–101 (1965).
K. Kodaira, “On deformations of some complex pseudo-group structures,” Ann. Math., 71(2): 224–302 (1960).
S. Koto, “Infinitesimal transformations of a manifold with f-structure,” Kodai Math. Semin. Kept., 16(2): 116–126 (1964).
S. Koto and M. Nagao, “On an invariant tensor under a CL-transformation,” Kodai Math. Semin. Rept., 18(2): 87–95 (1966).
M. Kurita, “Tensor fields and their parallelism,” Nagoya Math. J., 18:133–151 (1961).
M. Kurita, “On normal contact metric manifolds,” J. Math. Soc. Japan, 15(3): 304–318 (1963).
A.J. Ledger and K. Yano, “The tangent bundle of a locally symmetric space,” J. London Math. Soc, 40(3): 487–492 (1965).
J. Lefebvre, “Transformations conformes et automorphismes de certaines structures presque symplectique,” Compt. Rend. Acad. Sci., AB262(13): A752–A754 (1966).
G. Legrand, “Sur les variétés à structure de presque-produit complexe,” Compt. Rend. Acad. Sci., 242(3): 335–337 (1956).
G. Legrand, “Structures presque hermitiennes au sens large,” Compt. Rend. Acad. Sci., 243(19): 1392–1395 (1956).
G. Legrand, “Etude d’une généralisation des structures presque complexes sur les variétés différentiables,” Rend. Circolo Mat. Palermo, 7(3): 323–354 (1958).
G. Legrand, “Etude d’une généralisation des structures presque complexes sur les variétés différentiables,” Rend. Circolo Mat. Palermo, 8(1): 5–48 (1959).
G. Legrand, “T-structures sur les variétés différentiables,” Compt. Rend. Acad. Sci., 250(20): 3266–3268 (1960).
G. Legrand, “Une interprétation de la forme de courbure d’une connexion infinitésimale,” Compt. Rend. Acad. Sci., 250(21): 3441–3442 (1960).
G. Legrand, “Notions diverses de formes de torsion,” Compt. Rend. Acad. Sci., 256(10): 2087–2088 (1963).
G. Legrand, “T-structures homogènes,” Compt. Rend. Acad. Sci., 258(19): 4648–4650 (1964).
D. Lehmann, “Remarques sur la connexion canonique d’une variété de Stiefel,” Compt. Rend. Acad. Sci., 259(17): 2754–2757 (1964).
J. Lehmann-Lejeune, “Sur l’intégrabilite de certaines G-structures,” Compt. Rend. Acad. Sci., 258(22): 5326–5329 (1964).
J. Lehmann-Lejeune, “Intégrabilité des G-structures défines; par une 1-forme à valeurs dans le module des champs de vecteurs, O-déformable,” Compt. Rend. Acad. Sci., 259(23): 4216–4219 (1964).
J. Lehmann-Lejeune, “Intégrabilité des G-structures définites par une 1-forme a valeurs dans le module des champs de vecteurs, O-déformable et nilpotente,” Compt. Rend. Acad. Sci., 260(3): 772–775 (1965).
J. Lehmann-Lejeune, “Etude des formes différentialles liée à certaines G-structures,” Compt. Rend. Acad. Sci., 260(7): 1838–1841 (1965).
J. Lehmann-Lejeune, “Intégrabilité des G-structures défines par une 1-forme 0-deformable à valéurs dans le fibre tangent,” Ann. Inst. Fourier, 16(2):329–387 [1966 (1967)].
J. Lewis, “Invariants of higher-order G-structures,” Doctoral Dissertation, Northwestern University, 1964, 42 pp.
J. Lewis, “Invariants of higher-order G-structures,” Dissertation Abstr., 25(11): 6658 (1965).
P. Libermann, “Sur le problème d’équivalence de certaines structures infinitésimales,” Ann. Mat. Pura ed Appl., 36: 27–120 (1954).
P. Libermann, “Sur les structures presque complexes et autres structures infinitésimales réguliéres,” Bull. Soc. Math. France, 83(3): 195–224 (1955).
P. Libermann, “Automorphismes infinitésimaux d’une structure symplectique,” Compt. Rend. Acad. Sci., 242:1114–1117 (1956).
P. Libermann, “Pseudogroupes infinitésimaux. Applications aux G-structures,” Compt. Rend. Acad. Sci., 246(9): 1365–1368 (1958).
P. Libermann, “Sur les automorphismes infinitésimaux des structures symplec-tiques et des structures de contact,” in: Colloq. Géometrie Différent. Globale, Brussels, 1958, Paris (1959), pp. 37–59.
P. Libermann, “Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie,” Bull. Soc. Math. France, 87(4):409–425 (1959).
P. Libermarrn, “Sur certaines résolutions de faisceaux,” Compt. Rend. Acad. Sci., 254(10): 1735–1737 (1962).
P. Libermann, “Sur quelques exemples de structures pfaffiennes et presque co-symplectiques,” Ann. Mat. Pura ed Appl., 60:153–172 (1962).
P. Libermann, “On sprays and higher-order connections,” Proc. Nat. Acad. Sci. USA, 49(4): 459–462 (1963).
P. Libermann, “Sur la géometrie des prolongements des espaces fibrés vectoriels,” Ann. Inst. Fourier, 14(1): 145–172 (1964).
A. Lichnerowicz, “Sur la réductivité de certaines algébres d’automorphismes,” Compt. Rend. Acad. Sci., 253(13): 1302–1304 (1961).
A. Lichnerowicz, “Théorémes de réductivité sur des algébres d’automorphismes,” Rend. Mat. e Applic, 22(1–2): 197–244 (1963).
T. Lin, “On complex manifolds with certain structures which are related to complex contact structures,” Tohoku Math. J., 15(3): 187–202 (1963).
E. Martinelli, “Varietà a struttura quaternionale generalizzata,” Atti Accad. Naz. Lincei. Rend. C1. Sci. Fis., Mat. Natur., 26(3): 353–362 (1959).
E. Martinelli, “Modello metrico reale dello spazio projettivo quaternionale,” Ann. Mat. Pura ed Appl., 49: 73–89 (1960).
E. Martinelli, “Metriche hermitiane sulle varietà a struttura quasi quaternionale generalizzata,” Atti Accad. Naz. Lincei. Rend. C1. Sci. Fis., Mat. Natur, 39(6): 400–407 (1965).
E. Martinelli, “Variétés à structure quaternionienne généralisée,” Rev. Roumaine Math. Pures et Appl., 10(7): 915–922 (1965).
M. Matsumoto, “Connections, metrics, and almost-complex structures of tangent bundles,” J. Math. Kyoto Univ., 5(3): 251–278 (1966).
O. Mayer, “Geometrie biaxiale différentielle des courbes,” Bull. Math. Soc. Roum. des Sci. (1938), p. 40.
R. Miron, “Connexions compatibles aux structures conformes-presque symple-ctiques,” Compt. Rend. Acad. Sci., 265(21): A685–A687 (1967).
H. Mizusawa, “On infinitesimal transformations of K-contact and normal contact metric spaces,” Sci. Rept. Niigata Univ., A(1): 5–18 (1964).
A. Morimoto, “On normal almost-contact structures,” J. Math. Soc. Japan, 15(4): 420–436 (1963).
A. Morimoto, “On normal almost-contact structures with a regularity,” Tohoku Math. J., 16(1): 90–104 (1964).
Y. Muto, “On some (1, 1) tensor field and connections,” Sci. Rept. Yokohama Nat. Univ., Sec. 1, No. 10, pp. 1–11 (1963).
Y. Muto, “On integrability conditions of equations of contravariant almost-analytic vectors and some related ones,” Sci. Rept. Yokohama Nat. Univ., Sec. 1, No. 11, pp. 1–9 (1964).
T. Nagai and H. Kôjyô, “On some considerations of hypersurfaces in certain almost-complex spaces,” J. Fac. Sci. Hokkaido Univ., Ser. 1, 18(3–4): 114–123 (1965).
T. Nagano, “Isometries on complex-product spaces,” Tensor, 9(1): 47–61 (1959).
H. Nakagawa, “f- Structures induced on submanifolds in spaces almost hermiti-an or kaehlerian,” Kodai Math. Semin. Rept., 18(2): 161–183 (1966).
H. Nakagawa, “On the automorphism groups of f-manifolds,” Kodai Math. Sem. Rept., 18(3): 251–257 (1966).
H. Nakagawa, “On framed f-manifolds,” Kodai Math. Sem. Rept., 18(4): 293–306 (1966).
H. Nakagawa, “On differentiable manifolds with certain almost-contact structures,” Sci. Rept. Tokyo Kyoiku Daigaku, A8:144–163 (1964).
H. Nakagawa, “On the set of (φ, ξ, η)-structures over a differentiable manifold,” Sci. Rept. Tokyo Kyoiku Daigaku, A7(26): 146–153 (1962).
T. Nasu, “A remark on a certain G-structure,” J. Sci. Hiroshima Univ., Ser. A, Div. 1, 29(2): 253–270 (1965).
Ngo van-Que, “G-structure unvariante,” Compt. Rend. Acad. Sci., 253(22): 2454–2456 (1951).
H. Nickerson, “On differential operators and connections,” Trans. Am. Math. Soc, 99(3): 509–539 (1961).
A. Nijenhuis, “Xn-1 forming sets of eigenvectors,” Proc. Koninkl. Ned. Akad. Wetenschap., A54(2): 200–212 (1951)
A. Nijenhuis, “Xn-1 forming sets of eigenvectors,” Indagationes Math., 13(2): 200–212(1951).
A. Nijenhuis, “Jacobi-type identities for bilinear differential concomitants of certain tensor fields. I,” Proc. Koninkl. Ned. Akad. Wetenschap., A58(3):390–397 (1955)
A. Nijenhuis, “Jacobi-type identities for bilinear differential concomitants of certain tensor fields. I,” Indagationes Math., 17(3):390–397 (1955).
A. Nijenhuis, “Jacobi-type identities for bilinear differential concomitants of certain tensor fields. II,” Proc. Koninkl. Ned. Akad. Wetenschap., A58(3):398–403 (1955)
A. Nijenhuis, “Jacobi-type identities for bilinear differential concomitants of certain tensor fields. II,” Indagationes Math., 17(3): 398–403 (1955).
M. Obata, “Affine transformations in an almost-complex manifold with a natural affine connection,” J. Math. Soc. Japan, 8(4): 345–362 (1956).
M. Obata, “Affine connexions in a quaternion manifold and transformations preserving the structure,” J. Math. Soc. Japan, 9(4): 406–416 (1957).
M. Obata, “Hermitian manifolds with quaternion structure,” Tohoku Math. J., 10(1): 11–18 (1958).
T. Ochiai, “On the automorphism group of a G-structure,” J. Math. Soc. Japan, 18(2): 189–193 (1966).
Y. Ogawa, “Some properties on manifolds with almost-contact structures,” Tohoku Math. J., 15(2): 148–161 (1963).
Y. Ogawa, “On principal torus bundles over a homogeneous contact manifold,” Tohoku Math. J., 16(3): 297–308 (1964).
Y. Ogawa, “On 5-dimensional Sasaki-Einstein space with sectional curvature ≥1/3” Tohoku Math. J., 19(2): 103–109 (1967).
Y. Ogawa, “On a (2m + l)-dimensional sasakian space with sectional curvature > (4m - 3)/4m(2m - 1),” Natur. Sci. Rept. Ochanomizu Univ., 18(1): 7–13 (1967).
K. Ogiue, “On almost-contact manifolds admitting axiom of planes of axiom of free mobility,” Kodai Math. Semin. Rept., 16(4): 223–232 (1964).
K. Ogiue, “On fiberings of almost-contact manifolds,” Kodai Math. Semin. Rept., 17(1): 53–62 (1965).
K. Ogiue, “Theory of conformai connections,” Kodai Math. Semin. Rept., 19(2): 193–224 (1967).
K. Ogiue, “On the geometry of G-structures of higher order,” Proc. Japan Acad., 43(4): 255–257 (1967).
T. Okubo, “On the differential geometry of frame bundles,” Ann. Math. Pure ed Appl., 72:29–44 (1966).
M. Okumura, “Some remarks on space with a certain contact structure,” Tohoku Math. J., 14(2): 135–145 (1962).
M. Okumura, “On infinitesimal conformai and projective transformations of normal contact spaces,” Tohoku Math. J., 14(4): 398–412 (1962).
M. Okumura, “Certain almost-contact hypersurfaces in Euclidean spaces,” Kodai Math. Semin. Rept., 16(1): 44–54 (1964).
M. Okumura, “Certain almost-contact hypersurfaces in kaehlerian manifolds of constant holomorphic sectional curvatures,” Tohoku Math. J., 16(3): 270–284 (1964).
M. Okumura, “Cosymplectic hypersurfaces in kaehlerian manifolds of constant holomorphic sectional curvature,” Kodai Math. Semin. Rept., 17(2): 63–73 (1965).
M. Okumura, “Contact hypersurfaces in certain Kaehlerian manifolds,” Tohoku Math. J., 18(1): 74–102 (1966).
M. Okumura, “Certain infinitesimal transformation of normalcontact metric manifold,” Kodai Math. Semin. Rept., 18(2): 116–119 (1966).
M. Okumura, “Totally umbilical hypersurfaces of a locally product Riemannian manifold,” Kodai Math. Semin. Rept., 19(1):35–42 (1967).
D. I. Papuc, “Sur la théorie des surfaces d’un espace axial à 3 dimensions,” An. Stint. Univ. Iasi, Sec. 1, 4(2): 49–80 (1958).
D. I. Papuc, “Classes de surfaces spéciales de l’espace axial à 3 dimensions,” Ann. Stint. Univ. Iasi, Sec. 1, 7(2):307–320 (1961).
D. I. Papuc, “Sur les variétés des espaces kelinéens à groupe linéaire complétement reductible,” Compt. Rend. Acad. Sci., 256(1): 62–64 (1963).
D. I. Papuc, “Sur la théorie des variétés des espaces kelinéens à groupe linéaire complètement réductible,” Compt. Rend. Acad. Sci., 257(3): 589–591 (1963).
R. Pernet, “Une géométrie conforme quaternionienne et son extension,” Bull. Cl. Sci. Acad. Roy. Belg., 49(10): 1116–1129 (1963).
R. Pernet, “Une géométrie conforme quaternionienne et son extension,” Bull. C1. Sci. Acad. Roy. Belg., 49(11): 1214–1224 (1963).
R. Pernet, “Une géométrie conforme quaternionienne et son extension,” Bull. CI. Sci. Acad. Roy. Belg., 49(11): 1271–1280 (1963).
M. Pinl, “Zur Differentialgeometrie im totalisotropen R2 und R3 eines komplexen euklidischen R4 und R6,” Monatsh. Math., 63(3): 256–264 (1959).
M. Pinl, “Über eine konstante lineare Übertragung, welche dem Schief körper der Hamiltonschen Quaternionen entspricht,” Ann. Mat. Pura ed Appl., 55:13–21 (1961).
H. Reichardt, “Eine Aufspaltung von Windung und Krümmung in affin zusammenhängenden Räumen,” Acta Sci. Math., 21(3–4): 300–308 (1960).
H. Reichardt, “Über die Teilräume affin zusammengängender Räume,” Abhandl. Math. Seminar Univ. Hamburg, 25(3–4): 146–154 (1962).
B. L. Reinhart, “Harmonic integrals on almost-product manifolds,” Trans. Am. Math. Soc, 88(1): 243–276 (1958).
B. L. Reinhart, “Foliated manifold with bundle-like metrics,” Ann. Math., 69(1): 119–132 (1959).
B. L. Reinhart, “Closed metric foliations,” Michigan Math. J., 8(1): 7–9 (1961).
E. Ruh, “On the automorphism group of a G-structure,” Comment. Math. Helv., 39(3): 189–204 (1964).
H. S. Ruse, “On parallel fields of planes in a Riemannian space,” Quart. J. Math., 20(80): 218–234 (1949).
H. S. Ruse, “Parallel planes in a Riemannian Vn,” Proc. Roy. Soc. Edinburgh, Sec. A, 62(1): 78–92 (1949/50).
T. Saeki, “Affine transformations in a differentiate manifold with π-structure,” J. Math. Soc. Japan, 14(3): 341–349 (1962).
T. Sakai, “Some transformation on K-contact and normal contact Riemannian manifolds,” Tohoku Math. J., 18(2): 216–224 (1966).
M. Salzert, “Die Eigenschaften derjenigen Kollineationen, die zwei konjugiert imaginären windschiefen Geraden im Raume festlassen,” Schr. der Math. Inst. und des Inst. für Angew. Math. der Univ. Berlin, 5(2): 133–177 (1940).
H. Sasagawa, “Certain almost-contact hypersurfaces in the almost-tachibanan space,” Res. Rept. Nagaoka Techn. Coll., 2(2): 101–113 (1966).
H. Sasagawa, “The f-structure induced on the submanifold of an *O-space,” Res. Rept. Nagaoka Techn. Coll., 2(3): 183–201 (1966).
S. Sasaki, “On the differential geometry of tangent bundles of Riemannian manifolds,” Tohoku Math. J., 10(3): 338–354 (1958).
S. Sasaki, “On differentiable manifolds with certain structures which are closely related to almost-contact structure. I,” Tohoku Math. J., 12(3): 459–476 (1960).
S. Sasaki, “On differentiable manifolds with (φ, ψ)-structures,” Tohoku Math. J., 13(1): 132–153 (1961).
S. Sasaki, “On the differential geometry of tangent bundles of Riemannian manifolds. H,” Tohoku Math. J., 14(2): 146–155 (1962).
S. Sasaki, “Homogeneous contact transformations,” Tohoku Math. J., 14(4): 369–397 (1962).
S. Sasaki, “A characterization of contact transformations,” Tohoku Math. J., 16(3): 285–290 (1964).
S. Sasaki, “On almost-contact manifolds,” in: Proc. US-Japan Seminar Different. Geometry, Kyoto, 1965, Nippon Hyoronsha Co., Ltd., Tokyo (1966), pp. 128–136.
S. Sasaki and Y. Hatakeyama, “On differentiable manifolds with certain structures which are closely related to almost-contact structure. H,” Tohoku Math. J., 13(2): 281–294 (1961).
S. Sasaki and Y. Hatakeyama, “On differentiable manifolds with contact metric structures,” J. Math. Soc. Japan, 14(3): 249–271 (1962).
S. Sasaki and Chen-Jung Hsu, “On the integrability of almost- contact structure,” Tohoku Math. J., 14(2): 167–176 (1962).
I. M. Singer and S. Sternberg, “The infinite groups of Lie and Cartan. Part I. The transitive groups,” J. Analyse Math., 15:1–114 (1965).
W. Slebodzinski, “Contribution à la géométrie différentielle d’un tenseur mixte de valence deux,” Colloq. Math., 13(1): 49–54 (1964).
D. C. Spencer, “Deformation of structures on manifolds defined by transitive, continuous pseudogroups. Part 1. Infinitesimal deformations of structure,” Ann. Math., 76(2): 306–398 (1962).
D. C. Spencer, “Deformation of structures on manifolds defined by transitive, continuous pseudogroups. Part II. Deformations of structure,” Ann. Math., 76(3): 399–445(1962).
D. C. Spencer, “Deformation of structures on manifolds defined by transitive, continuous pseudogroups. Part III. Structures defined by elliptic pseudogroups,” Ann. Math., 81(3): 389–450 (1965).
K. Srinivasacharyulu, “Sur certaines familles Différentiables de G-structures,” Compt. Rend. Acad. Sci., 250(7): 1171–1173 (1960).
S. Tachibana, “Some theorems on locally product Riemannian spaces,” Tohoku Math. J., 12(2): 281–292 (1960).
S. Tachibana, “Analytic tensor and its generalization,” Tohoku Math. J., 12(2): 208–221 (1960).
S. Tachibana, “On harmonic tensors in compact Sasakian spaces,” Tohoku Math. J., 17(3): 271–284 (1965).
S. Tachibana, “On a decomposition of C-harmonic forms in a compact Sasakian space,” Tohoku Math. J., 19(2): 198–212 (1967).
S. Tachibana and S. Koto, “On almost-analytic functions, tensors, and invariant subspaces,” Tohoku Math. J., 14(2): 177–186 (1962).
S. Tachibana and M. Okumura, “On the almost-complex structure of tangent bundles of Riemannian spaces,” Tohoku Math. J., 14(2): 156–161 (1962).
S. Takizawa, “On contact structures of real and complex manifolds,” Tohoku Math. J., 15(3): 227–252 (1963).
S. M. Tallini, “Metrica hermitiana ellittica in uno spazio proiettivo quater-nionale,” Ann. Mat. Pura ed Appl., 60: 203–233 (1962).
S. M. Tallini, “Métrequehermitienne elliptique dans un espace projectif quater-nionien,” Ann. Univ. Sci. Budapest. Sec. Math., 7:109–112 (1964).
N. Tanaka, “On the pseudo-conformal geometry of hypersurfaces of the space of n-complex variables,” J. Math. Soc. Japan, 14(4): 397–429 (1962).
N. Tanaka, “On the equivalence problems associated with a certain class of homogeneous spaces,” J. Math. Soc. Japan, 17(2): 103–139 (1965).
S. Tanno, “Note on infinitesimal transformations over contact manifolds,” Tohoku Math. J., 14(4): 416–430 (1962).
S. Tanno, “Some transformations on manifolds with almost-contact and contact metric structures,” Tohoku Math. J., 15(2): 140–147 (1963).
S. Tanno, “On fiberings of some noncompact contact manifolds,” Tohoku Math. J., 15(3): 289–297 (1963).
S. Tanno, “Some transformations on manifolds with almost-contact and contact metric structures. II,” Tohoku Math. J., 15(4): 322–331 (1963).
S. Tanno, “A remark on transformations of a K-contact manifold,” Tohoku Math. J., 16(2): 173–175 (1964).
S. Tanno, “An almost-complex structure of the tangent bundle of an almost-contact manifold,” Tohoku Math. J., 17(1): 7–15 (1965).
S. Tanno, “Almost-complex structures in bundle spaces over almost-contact manifolds,” J. Math. Soc. Japan, 17(2): 167–186 (1965).
S. Tanno, “A theorem on regular vector fields and its application to almost-contact structures,” Tohoku Math. J., 17(3): 235–238 (1965).
S. Tanno, “Sur une variété munie d’une structure de contact admettant certains transformations,” Tohoku Math. J., 17(3): 239–243 (1965).
S. Tanno, “Partially conformai transformations with respect to (m - l)-dimen-sional distributions of m-dimensional Riemannian manifolds,” Tohoku Math. J., 17(4): 358–409 (1965).
S. Tanno, “Partially conformai transformations with respect to (m - l)-dimen-sional distributions of m-dimensional Riemannian manifolds. II,” Tohoku Math. J., 18(4): 378–392 (1966).
S. Tanno, “A conformai transformation of certain contact Riemannian manifolds,” Tohoku Math. J., 18(3): 270–273 (1966).
S. Tanno, “Sur une variété de K-contact métrique de dimension 3,” Compt. Rend. Acad. Sci., 263(9): A317–A319 (1966).
S. Tanno, “Harmonic forms and Betti numbers of certain contact Riemannian manifolds,” J. Math. Soc. Japan, 19(3):308–316 (1967).
S. Tanno, “Topology of compact Sasakian manifolds,” Proc. Japan. Acad. 43(6): 423–425 (1967).
S. Tanno, “Curvature preserving transformations of K-contact Riemannian manifolds,” Kodai Math. Sem. Rept., 19(2): 156–158 (1967).
Y. Tashiro, “On contact structure of hypersurfaces in complex manifolds. I,” Tohoku Math. J., 15(1): 62–78 (1963).
Y. Tashiro, “On contact structure of hypersurfaces in complex manifolds. II,” Tohoku Math. J., 15(2): 167–175 (1963).
Y. Tashiro and S. Tachibana, “On Fubinian and C-Fubinian manifolds,” Kodai Math. Semin. Rept., 15:176–183 (1963).
C. Teleman, “Asupra spatiilor projective cuaternionice,” in: Lucrarile Const. Geom. Different., 1955, Timisoara Acad. RPR (1956), pp. 249–252.
C. Teleman, “Sur les variétés de Grassmann,” Bull. Math. Soc. Sci. et Phys. RPR, 2(2): 203–224 (1958).
J. Tits, “Isotropie des espaces de Klein,” in: Colloq. Géométrie Différent. Globale, Brussels, 1958, Paris-Louvain (1959), pp. 153–161.
P. Tondeur, “Affine Zusammenhänge auf Mannigfaltigkeiten mit fast-symplektischer Structur,” Comment. Math. Helv., 36(3): 234–244 (1961).
P. Tondeur, “Structure presque kählérienne naturelle sur la fibré des vecteurs covariants d’une variété riemannienne,” Compt. Rend. Acad. Sci., 254(3): 407–408 (1962).
P. Tondeur, “Champs invariants de p-plans sur un espace homogéne,” Compt. Rend. Acad. Sci., 259(25): 4473–4475 (1964).
I. Vàduva, “Asupra spatiilor cu conexiune afinâ constantâ atasate unor algebre reale,” Studii Si Cercetari Mat. Acad. RPR, 12(2): 535–541 (1961).
G. Vränceanu, Lecons de Géométrie Différentielle, Vol. I, Vol. II, Bucharest, Acad. RPR (1957).
G. Vränceanu, “Spazi a connessione affine e le algebre di numeri ipercomplessi,” Ann. Scuola Normale Super. Pisa, 12(1–2): 5–20 (1958).
H. Wakakuwa, “On Riemannian manifolds with homogeneous holonomy group Sp (n),” Tohoku Math. J., 10(3): 274–303 (1958).
H. Wakakuwa, “On affinely connected manifolds with homogeneous holonomy group CL (n, Q) ⊗ T1,” Tohoku Math. J., 11(3): 364–375 (1959).
H. Wakakuwa, “On almost complex symplectic manifolds and affine connections with restricted homogeneous holonomy group Sp (n, C),” Tohoku Math. J., 12(2): 175–202 (1960).
H. Wakakuwa, “On some affine connections in manifolds with almost quaternion structure and homogeneous holonomy groups,” Tensor, 11(1): 57–73 (1961).
H. Wakakuwa, “On affine connections in an almost-complex symplectic manifold,” Tensor, 11(2): 110–126 (1961).
H. Wakakuwa, “On linearly independent almost-complex structures in a differentiate manifold,” Tohoku Math. J., 13(3): 393–422 (1961).
A. G. Walker, “On parallel fields of partially null vector spaces,” Quart. J. Math., 20(16): 135–145 (1949).
A. G. Walker, “Canonical form for a Riemannian space with a parallel field of null planes,” Quart. J. Math., Ser. 2, 1(1): 69–79 (1950).
A. G. Walker, “Canonical forms (II): Parallel partially null planes,” Quart. J. Math., Ser. 2, 1(2): 147–152 (1950).
A. G. Walker, “The fibering of Riemannian manifolds,” Proc. London Math. Soc., 3(9): 1–19 (1953).
A. G. Walker, “Connexions for the parallel distributions in the large,” Quart. J. Math., 6(24):301–308 (1955).
A. G. Walker, “Connexions for parallel distributions in the large, E,” Quart. J. Math., 9(35): 221–231 (1958).
A. G. Walker, “Distributions and global connexions,” in: Colloq. Géométrie Différent. Globale, Brussels, 1958, Paris-Louvain (1959), No. 52, p. 285–298.
A. G. Walker, “Almost-product structures. Differential geometry,” in: Proc. Sympos. Pure Math., Am. Math. Soc, Vol. 3, pp. 94–100 (1961).
A. West, “The projection of infinitesimal connections,” J. London Math. Soc, 40(3): 551–564 (1965).
T. I. Willmore, “Connexions for systems of parallel distributions,” Quart. J Math., 7(28): 269–276 (1956).
T. I. Willmore, “Parallel distributions on manifolds,” Proc. London Math. Soc, 6(22): 191–204 (1956).
T. I. Willmore, “Systems of parallel distributions,” J. London Math. Soc, 32(2): 153–156 (1957).
T. I. Willmore, “Global theorems on manifolds which admit distributions,” Sémin. Topol. et Géom. Différent. Ch. Ehresmann, Fac. Sci. Paris, 1957–1958, Issue 1, Paris (1959), pp. 18/1–18/7.
T. I. Willmore, “Connexions associated with foliated structures,” Ann. Inst. Fourier, 14(1): 43–47 (1964).
Y. G. Wong, “Fields of parallel planes in affinely connected spaces,” Quart. J. Math., 4(16): 241–253 (1953).
K. Yano, “On Walker differentiation in almost-product or almost-complex spaces,” Proc. Koninkl. Ned. Akad. Wetenschap., A61(5): 573–580 (1958)
K. Yano, “On Walker differentiation in almost-product or almost-complex spaces,” Indagationes Math., 20(5): 573–580 (1958).
K. Yano, “Affine connexions in an almost-product space,” Kodai Math. Semin. Rept., 11(1): 1–24 (1959).
K. Yano, “On a structure f satisfying f 3 + f = 0,” Technical Report, University of Washington, No. 2 (1961).
K. Yano, “Eckmann-Frölicher connexions on almost-analytic submanifolds,” Kodai Math. Semin. Rept., 14(1): 53–58 (1962).
K. Yano, “On a structure defined by a tensor field f of type (1.1) satisfying f 3+ f = 0,” Tensor, 14: 99–109 (1963).
K. Yano, “Tensor fields and connections on cross sections in the cotangent bundle,” Tohoku Math. J., 19(1): 32–48 (1967).
K. Yano and E. T. Davies, “On the tangent bundles of Finsler and Riemannian manifolds,” Rend. Circolo Mat. Palermo, 12(2): 211–228 (1963).
K. Yano and S. Ishihara, “On integrability conditions of a structure f satisfying f 3 + f = 0,” Quart. J. Math., Oxford, 15:217–222 (1964).
K. Yano and S. Ishihara, “Almost-contact structures induced on hypersurfaces in complex and almost-complex spaces,” Kodai Math. Semin. Rept., 17(3): 222–249(1965).
K. Yano and S. Ishihara, “Structure defined by F satisfying F3 + F = 0,” in: Proc. US-Japan Seminar Different. Geometry, Kyoto, 1965, Nippon Hyoronsha Co., Ltd., Tokyo (1966), pp. 153–166.
K. Yano and S. Ishihara, “The f-structure induced on submanifolds of complex and almost-complex spaces,” Kodai Math. Semin. Rept., 18(2): 120–160 (1966).
K. Yano and S. Ishihara, “Differential geometry in tangent bundle,” Kodai Math. Semin. Rept., 18(4): 271–292 (1966).
K. Yano and S. Ishihara, “Correction to the paper ‘The f-structure induced on submanifolds of complex and almost-complex spaces’,” Kodai Math. Semin. Rept., 18(4): 386 (1966).
K. Yano and S. Ishihara, “Almost-complex structures induced in tangent bundles,” Kodai Math. Semin. Rept., 19(1): 1–27 (1967).
K. Yano and S. Ishihara, “Horizontal lifts of tensor fields and connections to tangent bundles,” J. Math. Mech., 16(9): 1015–1029 (1967).
K. Yano and S. Kobayashi, “Prolongations of tensor fields and connections to tangent bundles. I. General theory,” J. Math. Soc. Japan, 18(2): 194–210 (1966).
K. Yano and S. Kobayashi, “Prolongations of tensor fields and connections to tangent bundles. II. Infinitesimal automorphisms,” J. Math. Soc. Japan, 18(3): 236–246 (1966).
K. Yano and A. J. Ledger, “Linear connections on tangent bundles,” J. London Math. Soc, 39(3): 495–500 (1964).
K. Yano and Y. Muto, “Homogeneous contact structures,” Math. Ann., 167(3): 195–213 (1966).
K. Yano and E. M. Patterson, “Vertical and complete lifts from a manifold to its cotangent bundle,” J. Math. Soc. Japan, 19(1): 91–113 (1967).
K. Yanb and E. M. Patterson, “Horizontal lifts from a manifold to its cotangent bundle,” J. Math. Soc. Japan, 19(2): 185–198 (1967).
I. Yokote, “On a foliated manifold with 1-dimensional distribution” Sci. Rept. Tokyo Kyoiku Daigaku, A9(202–208): 1–23 (1965).
I. Yokote, “On some properties of the tangent bundles of Riemannian manifolds which admit a skew-symmetric covariant tensor of order 2,” Sci. Rept. Tokyo Sect. A, 9:143–147 (1967).
P. B. Zwart, “Compact homogeneous spaces possessing invariant contact, symplectic or cosymplectic structures,” Doctoral Dissertation, Washington University, 1965; Dissertation Abstr., 26(11): 6756 (1966).
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Shirokov, A.P. (1971). Structures On Differentiable Manifolds. In: Gamkrelidze, R.V. (eds) Progress in Mathematics. Progress in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3306-7_4
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