Xinyue Cheng - School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
Hong Cheng - School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
Xibin Zhang - School of Mathematical Sciences, Chongqing Normal University, Chongqing, China

This paper mainly studies the volume comparison in Finsler geometry under the condition that the weighted Ricci curvature Ric∞ has a lower bound. By using the Laplacian comparison theorems of distance function, we characterize the growth ratio of the volume coefficients. Further, some volume comparison theorems of Bishop-Gromov type are obtained.

volume comparison, the weighted Ricci curvature, Laplacian comparison theorem, distance function, volume coefficient