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math.APDec 19, 2011
2
citations (OpenAlex)
authors
  • Guofang Wang
  • Chao Xia
institutions
  • Max Planck Institute for Mathematics in the Sciences
  • University of Freiburg
arXiv abstractPDF
paper

A sharp lower bound for the first eigenvalue on Finsler manifolds

arXiv:1112.4401

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.

16 pages

References in corpus (2)

  • Bochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds
  • Differential Structure and Flow equations on Rough Path Space
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