Commuting structure Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians

摘要

In this paper we give a non-existence theorem for Hopf real hypersurfaces in complex two-plane Grassmannians $G_2({mathbb C}^{m+2})$ satisfying the condition that the structure Jacobi operator $R_{xi}$ commutes with the 3-structure tensors ${phi}_i$, $i=1,2,3.$