Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611911 | Journal of Differential Equations | 2011 | 9 Pages |
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.
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