SOME CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE (A) IN A NONFLAT COMPLEX SPACE FORM
SOME CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE (A) IN A NONFLAT COMPLEX SPACE FORM
In this paper, we prove that if the structure Jacobi operator <TEX>$R_{\xi}-parallel\;and\;R_{\xi}$</TEX> commutes with the Ricci tensor S, then a real hypersurface with non-negative scalar curvature of a nonflat complex space form <TEX>$M_{n}(C)$</TEX> is a Hopf hypersurface. Further, we characterize such Hopf hypersurface in <TEX>$M_{n}(C)$</TEX>.