Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications

被引：0
|
作者：
Wu, Bing-Ye [1 ]
机构：
[1] Minjiang Univ, Inst Math, Fuzhou 350108, Fujian, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2021年 / 77卷
关键词：
Riemannian-Finsler manifold; Curvature quartic decay; Myers theorem; Volume; First eigenvalue; GEOMETRY;
D O I：
10.1016/j.difgeo.2021.101762
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some comparison theorems on Finsler manifolds with curvature quartic decay. As their applications, we obtain some optimal compact theorems, volume growth and Mckean type estimate for the first Dirichlet eigenvalue for such manifolds. Although we present the results for Finsler manifolds, they are all new results for Riemannian manifolds. (c) 2021 Elsevier B.V. All rights reserved.
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页数：15
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