Eigenvalue Comparison Theorems on Finsler Manifolds  

作　　者：Songting YIN Qun HE 

机构地区：[1]Department of Mathematics, Tongji University [2]Department of Mathematics and Computer Science, Tongling University

出　　处：《Chinese Annals of Mathematics,Series B》2015年第1期31-44,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11471246,11171253);the Natural Science Foundation of the Anhui Higher Education Institutions(No.KJ2014A257)

摘　　要：Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau's estimation of the first eigenvalue is also given.

关 键 词：The first eigenvalue Finsler-Laplacian Ricci curvature S-CURVATURE 

分 类 号：O151.21[理学—数学]