Homogeneous two-manifolds with an invariant two-form |
| |
| Authors: | Takeshi Sasaki Masaaki Yoshida |
| |
| Institution: | (1) Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan;(2) Department of Mathematics, Kyushu University, Ropponmatsu, Fukuoka 810–8560, Japan |
| |
| Abstract: | We study a 2-dimensional manifold that admits a homogeneous action of a 3-dimensional Lie group G, and has a 2-form invariant under G. We show that such a manifold can be realized as a surface in the affine 3-space, and list such realizations.
|
| |
| Keywords: | 53C30 53C42 53C45 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
