Article ID Journal Published Year Pages File Type
4611911 Journal of Differential Equations 2011 9 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis