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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)
  • Received : 2015.01.27
  • Published : 2015.04.30

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.

References

  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. https://doi.org/10.2969/jmsj/03730515
  4. S. Montiel and A. Romero, On some real hypersurfaces of a complex hyperbolic space, Geom. Dedicata 20 (1986), no. 2, 245-261. https://doi.org/10.1007/BF00164402
  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. https://doi.org/10.1155/IJMMS.2005.987