Changhwa Woo

Real Hypersurfaces in Complex Two-Plane Grassmannians with GTW Harmonic Curvature

We prove the non-existence of Hopf real hypersurfaces in complex twoplane Grassmannians with harmonic curvature with respect to the generalized TanakaWebster connection if they satisfy some further conditions.

Real hypersurfaces in complex two-plane Grassmannians with recurrent Ricci tensor

In this paper, we have introduced a new notion of generalized Tanaka-Webster Reeb recurrent Ricci tensor in complex two-plane Grassmannians

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

G_2({\mathbb C}^{m+2})

Real hypersurfaces in complex hyperbolic two-plane Grassmannians with parallel Ricci tensor

. Next, we give a non-existence property for real hypersurfaces

Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka{Webster connection

M

Reeb parallel Ricci tensor for homogeneous real hypersurfaces in complex hyperbolic two-plane Grassmannians

in

Real hypersurfaces in complex two-plane Grassmannians with Reeb parallel Ricci tensor in generalized Tanaka-Webster connection

G_2({\mathbb C}^{m+2})

Real hypersurfaces with commuting Jacobi operator in the complex quadric

with such a condition.

On the Riemannian Curvature Tensor of a Real Hypersurface in Complex Two-Plane Grassmannians

Abstract In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.