Comparison Theorems in Finsler Geometry and their Applications
Reviewed by Pithpith:44EORHZPopen to challenge →
classification
math.DG
keywords
theoremscomparisonfinslermanifoldsapplicationsconditionscurvaturederive
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.