Some generalized comparison results in Finsler geometry and their applications

Yecheng Zhu and Wenming Hu

Address: Department of Applied Mathematics, Anhui University of Technology, Hudong Road. NO. 59, Huashan District, 243002, Maanshan, Anhui Province, China


Abstract: In this paper, we generalize the Hessian comparison theorems and Laplacian comparison theorems described in [16, 18], then give some applications under various curvature conditions.

AMSclassification: primary 53C60; secondary 53B40.

Keywords: comparison theorem, Finsler geometry, distance function, first eigenvalue.

DOI: 10.5817/AM2013-1-65