A sharp lower bound for the first eigenvalue on Finsler manifolds |
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Authors: | Guofang Wang Chao Xia |
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Affiliation: | 1. Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany;2. Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstr. 22, 04103, Leipzig, Germany |
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Abstract: | ![]() In this paper, we give a sharp lower bound for the first (nonzero) Neumann eigenvalue of Finsler-Laplacian in Finsler manifolds in terms of diameter, dimension, weighted Ricci curvature. |
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Keywords: | Finsler-Laplacian First eigenvalue Weighted Ricci curvature Poincaré inequality |
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