Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below

Document Type : Original Article


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.