Speaker：Qiaoling Xia（Hangzhou Dianzi University）

Time：2022-11-22, 14:30

Location：Tencent Meeting ID：800-197-900（No Password）

Abstract:

The heat flow in Finsler geometry is a nonlinear flow. In this talk, we shall introduce some rencent progress on the heat flow in Finsler geometry, including the existence and regularity, the local and global gradient estimates for positive solutions to the heat equation and their applications etc. on a forward complete Finsler manifold with the weighted Ricci curvature bounded from below by a constant. In particular, we obtain some new Li-Yau’s type inequalities for the heat flow on Finsler (resp. Riemannian) manifolds both in positive and negative curvature.