First eigenvalue monotonicity for the p-Laplace operator under the Ricci flow |
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Authors: | Jia Yong Wu |
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Affiliation: | 1. Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, P. R. China
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Abstract: | In this note, we discuss the monotonicity of the first eigenvalue of the p-Laplace operator (p ?? 2) along the Ricci flow on closed Riemannian manifolds. We prove that the first eigenvalue of the p-Laplace operator is nondecreasing along the Ricci flow under some different curvature assumptions, and therefore extend some parts of Ma??s results [Ann. Glob. Anal. Geom., 29, 287?C292 (2006)]. |
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Keywords: | Ricci flow first eigenvalue p-Laplace operator monotonicity |
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