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 Some characterizations of real hypersurfaces of type (A) in a nonflat complex space form Bull. Korean Math. Soc. 2007 Vol. 44, No. 1, 157-172 Printed March 1, 2007 U-Hang Ki and Huili Liu The National Academy of Sciences, Northeastern University Abstract : In this paper, we prove that if the structure Jacobi operator $R_{\xi}$ is $\xi$-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 ${\rm M}_n(c)$ is a Hopf hypersurface. Further, we characterize such Hopf hypersurface in ${\rm M}_n(c)$. Keywords : real hypersurface, structure Jacobi operator, Ricci tensor, Hopf hypersurface MSC numbers : 53C40, 53C15 Downloads: Full-text PDF