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A sharp lower bound for the first eigenvalue on Finsler manifolds
Authors:Guofang Wang  Chao Xia
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
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.
Keywords:Finsler-Laplacian  First eigenvalue  Weighted Ricci curvature  Poincaré inequality
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