Comparison theorems in Finsler geometry and their applications

被引：0
|
作者：
B. Y. Wu
Y. L. Xin
机构：
[1] Minjiang University,Department of Mathematics
[2] Fudan University,Institute of Mathematics and the Key Laboratory of Mathematics for Nonlinear Sciences
来源：
Mathematische Annalen | 2007年 / 337卷
关键词：
Primary 53C60; Secondary 53B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove Hessian comparison theorems, Laplacian comparison theorems and volume comparison theorems for Finsler manifolds under various curvature conditions. As applications, we derive McKean type theorems for the first eigenvalue of Finsler manifolds, as well as generalize to Finsler manifolds a result on fundamental groups due to Milnor.
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页码：177 / 196
页数：19
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