Maximum principles and gradient Ricci solitons

被引：18

作者：

Fernandez-Lopez, Manuel ^{[1
]}

Garcia-Rio, Eduardo ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 01期

关键词：

Gradient Ricci soliton; Omori-Yau maximum principle; Stochastically completeness; f-Laplacian;

D O I：

10.1016/j.jde.2011.03.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the Omori-Yau maximum principle holds true on complete gradient shrinking Ricci solitons both for the Laplacian and the f-Laplacian. As an application, curvature estimates and rigidity results for shrinking Ricci solitons are obtained. Furthermore, applications of maximum principles are also given in the steady and expanding situations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：73 / 81

页数：9

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