Conformal Invariants of Submanifolds in a Riemannian Space and Conformal Rigidity Theorems on Willmore Hypersurfaces

被引：0
|
作者：
Zhen Guo
Hong Li
机构：
[1] Yunnan Normal University,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2018年 / 28卷
关键词：
Submanifolds; Conformal invariant; Integral inequality; Willmore tori; 53A30; 53C21; 53C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The conformal geometry of submanifolds in a constant curvature space was well studied in the past 15 years. The first part of this paper presents the system of complete conformal invariants of submanifolds in a general Riemannian space, and the second part presents several conformal rigidity theorems on compact Willmore hypersurfaces. In particular, the conformal class of Willmore tori is characterized using a conformal invariant.
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页码：2670 / 2691
页数：21
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