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http://dx.doi.org/10.4134/CKMS.2015.30.2.131

CERTAIN CURVATURE CONDITIONS OF REAL HYPERSURFACES IN A COMPLEX HYPERBOLIC SPACE

Kim, Hyang Sook (Department of Applied Mathematics Institute of Basic Science College of Liberal Arts and Sciences Inje University)
Pak, Jin Suk (Kyungpook National University)

Publication Information

Communications of the Korean Mathematical Society / v.30, no.2, 2015 , pp. 131-142 More about this Journal

Abstract

The purpose of this paper is to study real hypersurfaces immersed in a complex hyperbolic space $CH^n$ 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;

Citations & Related Records

Reference

1	J. Berndt Real hypersurfaces with constant principal curvatures in complex hyperbolic space, J. Reine. Angew. Math. 395 (1989), 132-141.
2	B. Y. Chen, Geometry of Submanifolds, Marcel Dekker Inc. New York, 2001.
3	S. Montiel, Real hypersurfaces of a complex hyperbolic space, J. Math. Soc. Japan 37 (1985), no. 3, 515-535. DOI
4	S. Montiel and A. Romero, On some real hypersurfaces of a complex hyperbolic space, Geom. Dedicata 20 (1986), no. 2, 245-261. DOI
5	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. DOI ScienceOn