Some Rigidity Properties for Manifolds with Constant k-Curvature of Modified Schouten Tensor

被引：0
|
作者：
Leyang Bo
Weimin Sheng
机构：
[1] Zhejiang University,School of Mathematical Sciences
来源：
The Journal of Geometric Analysis | 2019年 / 29卷
关键词：
Rigidity; Modified Schouten tensor; -Curvature; Locally conformally flat; 53C21; 53C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the rigidity problem on closed locally conformally flat manifolds with constant k-curvature or constant quotient curvature. We prove that such manifolds must have constant sectional curvature under the assumption that the manifolds have positive sectional curvature. The same result is also held on closed locally conformally flat manifolds with totally geodesic boundary.
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页码：2862 / 2887
页数：25
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