Homogeneous surfaces in Lie sphere geometry |
| |
| Authors: | Tongzhu Li |
| |
| Affiliation: | 1.Department of Mathematics,Capital Normal University,Beijing,China;2.Department of Mathematics,Beijing Institute of Technology,Beijing,China |
| |
| Abstract: | In this paper, we study surfaces of S 3 in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S 3 with respect to the Lie sphere transformation group of S 3. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
