Semisymmetric hypersurfaces in complex hyperbolic two-plane Grassmannians

초록

In this paper, we introduce new notions of symmetric operators such as semisymmetric shape operator and structure Jacobi operator in complex hyperbolic two-plane Grassmannians. Next we prove that there does not exist a Hopf real hypersurface in complex hyperbolic two-plane Grassmannians SU2,m/S (U-2.U-m) with such notions.

키워드