Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU

ANTI-COMMUTING REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS

In this paper we give a nonexistence theorem for real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) with anti-commuting shape operator.

Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator

In this paper we give a non-existence property of real hypersurfaces in complex two-plane Grassmannians G2(ℂm+2) which have a shape operator A commuting with the structure tensors {φ1, φ2, φ3}. From this view point we give a characterisation of real hypersurfaces of type B in G2(ℂm+2).