English

Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians

Differential Geometry 2014-11-11 v1

Abstract

In this paper, we introduce new notions of semi-parallel shape operators and structure Jacobi operators in complex two-plane Grassmannians G2(Cm+2)G_2({\mathbb C}^{m+2}). By using such a semi-parallel condition, we give a complete classification of Hopf hypersurfaces in G2(Cm+2)G_2({\mathbb C}^{m+2}).

Keywords

Cite

@article{arxiv.1411.2379,
  title  = {Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians},
  author = {Doo Hyun Hwang and Hyunjin Lee and Changhwa Woo},
  journal= {arXiv preprint arXiv:1411.2379},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1410.2690

R2 v1 2026-06-22T06:53:14.964Z