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Real hypersurface of a complex space form

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)

Publication Date:

Authors : ; ;

Page : 58-64

Keywords : complex space form real hypersurface eta-parallel umbilical structure Jacobi operator.;

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Abstract

The purpose of the present paper is to give characterization of real hyper- surface of a complex space form. We find conditions for these hypersurfaces to be phi- symmetric and to have eta- parallel curvature tensor. Further we prove totally eta-umbilical real hypersurfaces of complex space forms have xi-parallel Ricci tensor and xi-parallel structure Jacobi operator.

Last modified: 2016-10-30 05:08:39