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

被引：8
|
作者：
Shi, Yuguang [1 ]
Wang, Wenlong [1 ]
Yu, Haobin [2 ]
机构：
[1] Peking Univ, Sch Math Sci, Key Lab Pure & Appl Math, Beijing 100871, Peoples R China
[2] Hangzhou Normal Univ, Dept Math, Hangzhou 310012, Zhejiang, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2019年 / 291卷 / 1-2期
关键词：
Penrose inequality; Asymptotically flat manifold with corner; Stable CMC surfaces;
D O I：
10.1007/s00209-018-2095-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：21
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