Speaker：Xinyue Cheng (Chongqing Normal University)

Time：2021-07-20 16:00

Location：Tencent Meeting ID：901 2531 9369（Password:202107）

Abstract:

In this talk, we firstly introduce some important and fundamental concepts in global analysis on Finsler manifolds. Then we establish some important inequalities under a lower weighted Ricci curvature bound on Finsler manifolds. Concretely, we establish a relative volume comparison of Bishop-Gromov type. As one of the applications, we obtain an upper bound for volumes of the Finsler manifolds. Finally, when the S-curvature is boubded on the whole manifold, we obtain a theorem of Bonnet-Myers type on Finsler manifolds.