Lower bounds for eigenvalues of Finsler manifolds
Differential Geometry
2019-07-02 v3
Abstract
In this paper, we study the spectrums of faithful dimension pairs on a closed Finsler manifold and obtain a Gromov type and a Buser type lower bounds for eigenvalues. Furthermore, for the Lusternik-Schnirelmann spectrum, we not only obtain a better lower bound, but also estimate the multiplicity of each eigenvalue.
Keywords
Cite
@article{arxiv.1806.05644,
title = {Lower bounds for eigenvalues of Finsler manifolds},
author = {Zhongmin Shen and Lixia Yuan and Wei Zhao},
journal= {arXiv preprint arXiv:1806.05644},
year = {2019}
}
Comments
A new co-author joins in this work and helps to improve this paper. So this paper should be withdraw in order to exclude any confusion