SOME CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE (A) IN A NONFLAT COMPLEX SPACE FORM

Title & Authors
SOME CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE (A) IN A NONFLAT COMPLEX SPACE FORM
Ki, U-Hang; Liu, Hui-Li;

Abstract
In this paper, we prove that if the structure Jacobi operator $\small{R_{\xi}-parallel\;and\;R_{\xi}}$ commutes with the Ricci tensor S, then a real hypersurface with non-negative scalar curvature of a nonflat complex space form $\small{M_{n}(C)}$ is a Hopf hypersurface. Further, we characterize such Hopf hypersurface in $\small{M_{n}(C)}$.
Keywords
real hypersurface;structure Jacobi operator;Ricci tensor;Hopf hypersurface;
Language
English
Cited by
1.
Real Hypersurfaces in <i>CP<sup>2</sup></i> and <i>CH<sup>2</sup></i> Equipped With Structure Jacobi Operator Satisfying L<sub>ξ</sub>l =▽<sub>ξ</sub>l, Advances in Pure Mathematics, 2012, 02, 01, 1
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