English

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

Differential Geometry 2015-10-28 v1

Abstract

In this paper, we have introduced a new notion of generalized Tanaka-Webster Reeb recurrent Ricci tensor in complex two-plane Grassmannians G2(Cm+2)G_2({\mathbb C}^{m+2}). Next, we give a non-existence property for real hypersurfaces MM in G2(Cm+2)G_2({\mathbb C}^{m+2}) with such a condition.

Cite

@article{arxiv.1502.06864,
  title  = {Real Hypersurfaces in complex two-plane Grassmannians with recurrent Ricci tensor},
  author = {Young Jin Suh and Doo Hyun Hwang and Changhwa Woo},
  journal= {arXiv preprint arXiv:1502.06864},
  year   = {2015}
}
R2 v1 2026-06-22T08:36:44.168Z