Homogeneous surfaces in Lie sphere geometry

被引：0
|
作者：
Tongzhu Li
机构：
[1] Capital Normal University,Department of Mathematics
[2] Beijing Institute of Technology,Department of Mathematics
来源：
Geometriae Dedicata | 2010年 / 149卷
关键词：
Lie sphere geometry; Canal surface; Lie homogeneous surface; 53A40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study surfaces of S3 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 S3 with respect to the Lie sphere transformation group of S3.
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页码：15 / 43
页数：28
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