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Eigenvalue Comparison Theorems on Finsler Manifolds 被引量：1

Eigenvalue Comparison Theorems on Finsler Manifolds
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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. 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.
作者 Songting YIN Qun HE
机构地区 Department of Mathematics Department of Mathematics and Computer Science
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 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)
关键词 FINSLER流形 第一特征值 比较定理 不等式 紧致 下界 加权 估计 The first eigenvalue,Finsler-Laplacian,Ricci curvature,S-Curvature
分类号 O151.21 [理学—基础数学]
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参考文献16

  • 1Bacso, S., Cheng, X. Y. and Shen, Z. M., Curvature properties of (α, β)-metric, Advanced Studies in Pure Mathematics, 48, 2007, 73-110.
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引证文献1

Chinese Annals of Mathematics,Series B
2015年 第1期

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