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).

引用

页码：569 / 589

页数：21

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