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December 2005 Real hypersurfaces of a nonflat complex space form in terms of the Ricci tensor
U-Hang Ki, Setsuo Nagai
Tsukuba J. Math. 29(2): 511-532 (December 2005). DOI: 10.21099/tkbjm/1496164968

Abstract

We know the fact that there are no real hypersurfaces with parallel Ricci tensors in a nonflat complex space form (cf. [5]). In this paper we investigate real hypersurfaces in a nonflat complex space form using some conditions of the Ricci tensor $S$ which are weaker than $\nabla S=0$. We characterize Hopf hypersurfaces of a nonflat complex space form.

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U-Hang Ki. Setsuo Nagai. "Real hypersurfaces of a nonflat complex space form in terms of the Ricci tensor." Tsukuba J. Math. 29 (2) 511 - 532, December 2005. https://doi.org/10.21099/tkbjm/1496164968

Information

Published: December 2005
First available in Project Euclid: 30 May 2017

zbMATH: 1096.53012
MathSciNet: MR2177024
Digital Object Identifier: 10.21099/tkbjm/1496164968

Rights: Copyright © 2005 University of Tsukuba, Institute of Mathematics

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Vol.29 • No. 2 • December 2005
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