Real hypersurfaces in complex two-plane Grassmannians whose shape operator is of Codazzi type in generalized Tanaka-Webster connection

摘要

In this paper, we give a non-existence theorem of Hopf hypersurfaces in complex two-plane Grassmannians $GBt$, $m geq 3$, whose shape operator is of Codazzi type in generalized Tanaka-Webster connection $gtw$.