Implications of Some Mass-Capacity Inequalities

被引：1

作者：

Miao, Pengzi ^{[1
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33146 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 08期

关键词：

Scalar curvature; Mean curvature; Mass; SCALAR CURVATURE; PROOF; MANIFOLDS;

D O I：

10.1007/s12220-024-01686-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Applying a family of mass-capacity related inequalities proved in Miao (Peking Math J 2023, https://doi.org/10.1007/s42543-023-00071-7), we obtain sufficient conditions that imply the nonnegativity as well as positive lower bounds of the mass, on a class of manifolds with nonnegative scalar curvature, with or without a singularity.

引用

页数：16

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