Maximum principles and gradient Ricci solitons |
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| Authors: | Manuel Fernndez-Lpez Eduardo García-Río |
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| Institution: | a Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain |
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| 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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| Keywords: | Gradient Ricci soliton Omori– Yau maximum principle Stochastically completeness f-Laplacian |
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