Real hypersurfaces satisfying $\bigtriangledown_{\xi}S=0$of a complex space form
Bull. Korean Math. Soc. 1998 Vol. 35, No. 4, 819-832
Eun-Hee Kang and U-Hang Ki
Kyungpook National University, Kyungpook National University
Abstract : The main purpose of this paper is to prove that if a real hypersurface $M$ of a complex space form satisfies $\nabla_\xi S$ = 0 and $S \xi = \sigma \xi$ for some constant on $\sigma$ on $M$, then the structure vector field $\xi$ is principal, where $S$ denotes the Ricci tensor of $M$.
Keywords : real hypersurfaces, Ricci tensor, principal curvature vector
MSC numbers : 53C15, 53C45
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