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The manifold E(0, n-m, m) in n-dimensional protective space Pn(m>2, n<m(m+1))

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Literature Cited

  1. R. N. Shcherbakov, “On the Method of Frames for Submanifolds,” Geometricheskii Sbornik,3, 8–11 (1963).

    Google Scholar 

  2. K. Svoboda, V. Havel, and I. Koláŕ, La Méthode du Repérage des Systèmes de Sous-Variétés, Comment. Math. Univ. Carolina,5, No. 4, 183–201 (1964).

    MATH  Google Scholar 

  3. Gh. Gheorgiev and I. Popa, Projective-Differential Geometry of Some Equiparametric Varieties (III), Analele Stiintifice ale Univ. Cuza, Iasi (Rumania), Sect. I, VII,2, 283–298 (1961).

    Google Scholar 

  4. S. P. Finikov, Cartan's Method of Exterior Forms in Differential Geometry [in Russian], GITTL, Moscow-Leningrad (1948).

    Google Scholar 

  5. G. B. Gurevich, Foundations of the Theory of Algebraic Invariants [in Russian], GITTL, Moscow-Leningrad (1948).

    Google Scholar 

  6. M. A. Akivis, On Surfaces of Rank r, Izv. vyssh. uch. zaved., Matematika, No. 1, 9–19 (1957).

    MathSciNet  MATH  Google Scholar 

  7. R. M. Geidel'man, On the Theory of Families of Planes in Non-Euclidean Spaces, Izv. vyssh. uch. zaved., Matematika, No. 3, 30–43 (1959).

    MathSciNet  Google Scholar 

  8. S. E. Karapetyan, Projective-Differential Geometry of Families of Multidimensional Planes, Izv. AN ArmSSR, XVI, No. 3, 3–22 (1963).

    Google Scholar 

  9. G. Castelnuovo and F. Enriques, Grundeigenschaften der algebraischen Flächen, Encyklopädie der mathematischen Wissenschaften, Vol. III, Part 2, Sect. 1, (1907–1910), pp. 636–673.

    Google Scholar 

  10. E. T. Ivlev and A. A. Luchinin, The Polar Correspondence with Respect to an Algebraic Hypersurface and its Applications, Geometricheskii sb., No. 7 (in press).

  11. M. A. Akivis, On the Voss Normals of a Surface Carrying a Net of Conjugate Lines, Matem. sb.,58, No. 2, 695–706 (1962).

    MathSciNet  Google Scholar 

  12. G. F. Laptev, Differential Geometry of Embedded Manifolds, Tr. Mosk. Matem. Obsh.,2, 275–283 (1953).

    MathSciNet  Google Scholar 

  13. W. Hodge and D. Pedoe, Methods of Algebraic Geometry [Russian translation], Vol. I, IL, Moscow (1954).

    MATH  Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, No. 5, pp. 1143–1155, September–October, 1967.

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Ivlev, E.T. The manifold E(0, n-m, m) in n-dimensional protective space Pn(m>2, n<m(m+1)). Sib Math J 8, 873–882 (1967). https://doi.org/10.1007/BF01040661

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