Lower bounds for eigenvalues of Finsler manifolds

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.

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