3 papers
math.DG2026
The Bonnet-Myers theorem on Finsler manifolds with integral weighted Ricci curvature bounds
Xinyue Cheng, Liulin Liu
In this paper, we derive some new relative volume comparison theorems and Bishop-Gromov volume comparisons on Finsler metric measure manifolds, all of which are controlled by the i…
math.DG2025
Isoperimetric inequality on Finsler metric measure manifolds with non-negative weighted Ricci curvature
Xinyue Cheng, Yalu Feng, Liulin Liu
In this paper, we define the volume entropy and the second Cheeger constant and prove a sharp isoperimetric inequality involving the volume entropy on Finsler metric measure manifo…
math.DG2025
Elliptic Harnack inequality and its applications on Finsler metric measure spaces
Xinyue Cheng, Liulin Liu, Yu Zhang
In this paper, we study the elliptic Harnack inequality and its applications on forward complete Finsler metric measure spaces under the conditions that the weighted Ricci curvatur…