REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH GENERALIZED TANAKA-WEBSTER PARALLEL SHAPE OPERATOR

摘要

We introduce the notion of generalized Tanaka-Webster connection for hyper-surfaces in complex two-plane Grassmannians G_2(C~(m-2)) and give a non-existence theorem for Hopf hypersurfaces in G_2(C~(m+2)) with parallel shape operator in this connection.