ON REAL HYPERSURFACES WITH THE COMPOSITION OF STRUCTURE JACOBI OPERATOR AND STRUCTURE LIE OPERATOR IN A COMPLEX SPACE FORM
Let Mbe a real hypersurface in a complex space form In this paper, we prove that if holds on M, then Mis a Hopf hypersurface, where and denote the structure Jacobi operator and the induced operator from the Lie derivative with respect to the structure vector field x, respectively. We investigate the geometric properties and characterize such Hopf hypersurfaces of
real hypersurface, structure Jacobi operator, Hopf hypersurface, model spaces.