On characterizations of real hypersurface in complex space form with Codazzi type structure Lie operator

摘要

In this paper, we prove that if (?_X L_ξ)Y = (?_Y L_ξ)X holds on M, then M is a Hopf hypersurface, where L_ξ denote the induced operator from the Lie derivative with respect to the structure vector field ξ. We characterize such Hopf hypersurfaces of M_n(c).