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.
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页数：16
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