THE STRUCTURE JACOBI OPERATOR ON REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM
THE STRUCTURE JACOBI OPERATOR ON REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM
Let M be a real hypersurface with almost contact metric structure <TEX>$(\phi,\;\xi,\;\eta,\;g)$</TEX> in a nonflat complex space form <TEX>$M_n(c)$</TEX>. In this paper, we prove that if the structure Jacobi operator <TEX>$R_\xi$</TEX> commutes with both the structure tensor <TEX>$\phi$</TEX> and the Ricc tensor S, then M is a Hopf hypersurface in …