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.

引用

页码：1837 / 1891

页数：55

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