Ricci flow on asymptotically Euclidean manifolds

被引：24
作者：
Li, Yu [1 ]
机构：
[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
GEOMETRY & TOPOLOGY | 2018年 / 22卷 / 03期
关键词：
LOGARITHMIC SOBOLEV INEQUALITIES; POSITIVE SCALAR CURVATURE; GENERAL-RELATIVITY; MASS; SOLITONS; PROOF;
D O I：
10.2140/gt.2018.22.1837
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that if an asymptotically Euclidean manifold with nonnegative scalar curvature has long-time existence of Ricci flow, the ADM mass is nonnegative. We also give an independent proof of the positive mass theorem in dimension three.
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页码：1837 / 1891
页数：55
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