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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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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.

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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