CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM
Let M be a real hypersurface with almost contact metric structure <TEX>$(\phi,g,\xi,\eta)$</TEX> in a complex space form <TEX>$M_n(c)$</TEX>, <TEX>$c\neq0$</TEX>. In this paper we prove that if <TEX>$R_{\xi}L_{\xi}g=0$</TEX> holds on M, then M is a Hopf hypersurface in <TEX>$M_n(c)$</TEX>, where <TEX>$R_{\xi}$</TEX> and <TEX>$L_{\xi}$</TEX> denote the structure Jacobi operator and the operator …