This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. L. Bishop and S. I. Golberg, "Some implications of the generalized Gauss-Bonnet theorem", Trans. Amer. Math. Soc. 112, 1964, 508–535.
E. Calabi, "Isometric imbedding of complex manifolds", Ann. of Math., 58, 1953, 1–23.
S.S. Chern, M. Do Carmo, S. Kobayashi, "Minimal submanifolds of a sphere with second fundamental form of constant length", Functional Analisis and related fields, 1970, 59–75.
J. Cheeger, D. G. Ebin, "Comparison theorems in Riemannian geometry", North-Holland Publ. Comp. 1975.
J. H. Cheng, "An integral formula on the scalar curvature of algebraic manifolds", Proc. AMS, 81, 1981, 451–454.
N. Ejiri, "The first eigenvalue of Δ for compact minimal submanifolds in a complex projective space" preprint.
S. Feder, "Immersions and imbedding in complex projective spaces" Topology 4, 1965, 143–158.
D. Ferus, "Symmetric submanifolds of Euclidean space", Math. Ann. 247, 1980, 81–93.
S. I. Goldberg, S. Kobayashi, "Holomorphic bisectional curvature" J. Diff. Geom. 1, 1967, 225–233.
Y. Kimura, "The nullity of compact Kaehler submanifolds in a complex projective space", J. Math. Soc. Japan 29,1977,561–580.
S. Kobayashi, "Hypersurfaces of complex projective space with constant scalar curvature", J. Diff. Geom., 1,1967,369–370.
S. Kobayashi, T. Ochiai, "Characterizations of comples projective spaces and hyperquadrics", J. Math. Kyoto Univ. 13,1973,31–47.
M. Kon, "Complex submanifolds with constant scalar curvature in a Kaehler manifold", J. Math. Soc. Japan, 27,1975,76–81.
H. B. Lawson, "Lectures on Minimal surfaces" IMPA 1973.
— "The Riemannian Geometry of holomorphic curves", Carolina Conference Proc.,1970,45–62.
H. Nakagawa, R. Takagi, "On locally symmetric Kaehler submanifolds in a complex projective space", J. Math. Soc. Japan 28,1976, 638–667.
K. Ogiue, "Differential geometry of Kaehler submanifolds" Adv. Math. 13,1974,73–114.
— "Positively curved complex submanifolds in a complex projective space, IV", Tsukuba J. Math. 3, 1979,75–77.
A. Ros, "Spectral geometry of CR-minimal submanifolds in the complex projective space", Kodai Math. J.,6,1983,88–99.
— "On spectral geometry of Kaehler submanifolds",J. Math. Soc. Japan 36, 1984,433–448.
— "Positively curved Kaehler submanifolds", Proc. AMS, 1985 329–331.
— "A characterization of seven compact Kaehler submanifold by holomorphic pinching", Ann. of Math. 121,1985,377–382.
A. Ros, L. Verstraelen, "On a conjecture of K. Ogiue", J. Diff. Geom. 19,1984,561–566.
J. Simons, "Minimal varieties in Riemannian manifolds" Ann. of Math. 88, 1968,62–105.
W. Strübing, "Symmetric submanifolds of Riemmanian manifolds" Math. Ann., 245, 1979,37–44.
Y.T. Siu, S.T. Yau, "Compact Kaehler manifolds of positive bisectional curvature", Invent. Math., 59,1980,189–204.
M. Takeuchi, "Homogeneous Kaehler submanifolds in complex projective spaces", Japan J. Math., 4, 1978,171–219.
K. Tsukada, "Einstein Kaehler submanifolds with codimension two in a complex space form", preprint.
S. Udagawa, "Spectral geometry of Kaehler submanifolds of a complex projective space", J. Math. Soc. Japan (to appear).
— "Einstein parallel Kaehler submanifolds in a complex projective space" preprint.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Ros, A. (1986). Kaehler submanifolds in the complex project space. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076637
Download citation
DOI: https://doi.org/10.1007/BFb0076637
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16801-0
Online ISBN: 978-3-540-44844-0
eBook Packages: Springer Book Archive