Certain curvature conditions of real hypersurfaces in a complex hyperbolic space

Hyang Sook Kim; Jin Suk Pak

doi:10.4134/CKMS.2015.30.2.131

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Commun. Korean Math. Soc. 2015; 30(2): 131-142

Printed April 30, 2015

https://doi.org/10.4134/CKMS.2015.30.2.131

Certain curvature conditions of real hypersurfaces in a complex hyperbolic space

Hyang Sook Kim and Jin Suk Pak

Inje University, An Emeritus Professor, Kyungpook National University

Abstract

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Abstract

The purpose of this paper is to study real hypersurfaces immersed in a complex hyperbolicspace $CH^n$ and especially to investigate certain curvature conditions for such real hypersurfaces to be the model hypersurfaces in classification theorem (said to be Theorem M-R) given by Montiel and Romero (\cite{4}) in Section 3.

Keywords: complex hyperbolic space, hypersurface, curvature tensor

MSC numbers: 53C40, 53C55