Real Hypersurfaces in Complex Two-plane Grassmannians with {\mathfrak{D}^{\bot}}-Parallel Shape Operator |
| |
| Authors: | Imsoon Jeong Hyunjin Lee Young Jin Suh |
| |
| Institution: | 1. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea
|
| |
| Abstract: | In this paper we consider a new notion of ${\mathfrak{D}^{\bot}}$ -parallel shape operator for real hypersurfaces in complex two-plane Grassmannians ${G_2(\mathbb{C}^{m+2})}$ and give a non-existence theorem for a Hopf hypersurface in ${G_2(\mathbb{C}^{m+2})}$ with ${\mathfrak{D}^{\bot}}$ -parallel shape operator. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
