Comparison Theorems in Finsler Geometry and their Applications

2005/12/29 by Wu, B. Y., Xin, Y. L.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0512633

Abstract

We prove Hessian comparison theorems, Laplacian comparison theorems and volume comparison theorems of Finsler manifolds under various curvature conditions. As applications, we derive Mckean type theorems for the first eigenvalue of Finsler manifolds, as well as generalize a result on fundamental group due to Milnor to Finsler manifolds.

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