Complex space forms immersed in complex space forms

Author:

Nakagawa H.,Ogiue K.

Abstract

We determine all the isometric immersions of complex space forms into complex space forms. Our result can be considered as the local version of a well-known result of Calabi.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. Isometric imbedding of complex manifolds;Calabi, Eugenio;Ann. of Math. (2),1953

2. On Kaehler immersions;Ogiue, Koichi;Canadian J. Math.,1972

3. 𝑛-dimensional complex space forms immersed in {𝑛+𝑛(𝑛+1)/2}-dimensional complex space forms;Ogiue, Koichi;J. Math. Soc. Japan,1972

4. Differential geometry of Kaehler submanifolds;Ogiue, Koichi;Advances in Math.,1974

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1. A characterization of isotropic immersions by extrinsic shapes of smooth curves;Differential Geometry and its Applications;2008-06

2. Vafa-Witten bound on the complex projective space;Annals of Global Analysis and Geometry;2006-06-23

3. A Practical Criterion For Some Submanifolds To Be Totally Geodesic;Monatshefte für Mathematik;2006-02-27

4. Riemannian Submanifolds;Handbook of Differential Geometry;2000

5. Helical geodesic immersions into complex space forms;Geometriae Dedicata;1989-04

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