Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below
Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:
JR_JFGA-3-2_001
Index date: 9 November 2023
Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below abstract
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.
Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below Keywords:
volume comparison , the weighted Ricci curvature , Laplacian comparison theorem , distance function , volume coefficient
Some volume comparison theorems on Finsler manifolds of weighted Ricci curvature bounded below authors
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