On the rigidity of Riemannian–Penrose inequality for asymptotically flat 3-manifolds with corners

被引：1
|
作者：
Yuguang Shi
Wenlong Wang
Haobin Yu
机构：
[1] Peking University,Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences
[2] Hangzhou Normal University,Department of Mathematics
来源：
Mathematische Zeitschrift | 2019年 / 291卷
关键词：
Penrose inequality; Asymptotically flat manifold with corner; Stable CMC surfaces; Primary 53C20; Secondary 83C99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove a rigidity result for the equality case of the Penrose inequality on 3-dimensional asymptotically flat manifolds with nonnegative scalar curvature and corners. Our result also has deep connections with the equality cases of Theorem 1 in Miao (Commun Math Phys 292(1):271–284, 2009) and Theorem 1.1 in Lu and Miao (Minimal hypersurfaces and boundary behavior of compact manifolds with nonnegative scalar curvature, arXiv:1703.08164v2, 2017).
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页码：569 / 589
页数：20
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