CERTAIN CURVATURE CONDITIONS OF REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE

Title & Authors
CERTAIN CURVATURE CONDITIONS OF REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE
Kim, Hyang Sook; Pak, Jin Suk;

Abstract
The purpose of this paper is to study real hypersurfaces immersed in a complex hyperbolic space $\small{CH^n}$ 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 ([4]) in Section 3.
Keywords
complex hyperbolic space;hypersurface;curvature tensor;
Language
English
Cited by
References
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J. S. Pak and H. S. Kim, Application of an integral formula to CR-submanifolds of complex hyperbolic space, Int. J. Math. Math. Sci. 2005 (2005), no. 7, 987-996.