|
|||||
|
|
Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition |
|
| Authors: | Hyunjin Lee Seonhui Kim Young Jin Suh |
| Affiliation: | 1. Graduate School of Electrical Engineering University and Computer Science, Kyungpook National University, Daegu, 702-701, Korea 2. Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea |
| Abstract: | In this paper, first we introduce a new notion of commuting condition that φφ 1 A = A φ 1 φ between the shape operator A and the structure tensors φ and φ 1 for real hypersurfaces in G 2(? m+2). Suprisingly, real hypersurfaces of type (A), that is, a tube over a totally geodesic G 2(? m+1) in complex two plane Grassmannians G 2(? m+2) satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in G 2(? m+2) satisfying the commuting condition. Finally we get a characterization of Type (A) in terms of such commuting condition φφ 1 A = A φ 1 φ. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |