Real hypersurface of a complex space form
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)Publication Date: 2016-01-01
Authors : HG NAGARAJA; SAVITRI SHASHIDAR;
Page : 58-64
Keywords : complex space form real hypersurface eta-parallel umbilical structure Jacobi operator.;
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.
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Last modified: 2016-10-30 05:08:39