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June 2001 Hopf Hypersurfaces with Constant Principal Curvatures in Complex Projective or Complex Hyperbolic Spaces
Bang-Yen CHEN, Sadahiro MAEDA
Tokyo J. Math. 24(1): 133-152 (June 2001). DOI: 10.3836/tjm/1255958318

Abstract

A real hypersurface of a complex space form is called a Hopf hypersurface if the characteristic vector field $\xi=-JN$ on $M$ is a principal curvature vector. The main purpose of this paper is to obtain several simple geometric characterizations of all Hopf hypersurfaces with constant principal curvatures in nonflat complex space forms.

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Bang-Yen CHEN. Sadahiro MAEDA. "Hopf Hypersurfaces with Constant Principal Curvatures in Complex Projective or Complex Hyperbolic Spaces." Tokyo J. Math. 24 (1) 133 - 152, June 2001. https://doi.org/10.3836/tjm/1255958318

Information

Published: June 2001
First available in Project Euclid: 19 October 2009

MathSciNet: MR1844424
zbMATH: 1015.53039
Digital Object Identifier: 10.3836/tjm/1255958318

Rights: Copyright © 2001 Publication Committee for the Tokyo Journal of Mathematics

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Vol.24 • No. 1 • June 2001
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