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First eigenvalue monotonicity for the p-Laplace operator under the Ricci flow
Authors:Jia Yong Wu
Institution:1. Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, P. R. China
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)].
Keywords:Ricci flow  first eigenvalue  p-Laplace operator  monotonicity
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