Stability of non compact steady and expanding gradient Ricci solitons

被引：6

作者：

Deruelle, Alix ^{[1
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

RIGIDITY; INEQUALITIES; INSTABILITY; CURVATURE;

D O I：

10.1007/s00526-015-0868-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability of non compact steady and expanding gradient Ricci solitons. We first show that linear stability implies dynamical stability. Then we give various sufficient geometric conditions ensuring the linear stability of such gradient Ricci solitons.

引用

页码：2367 / 2405

页数：39

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