Some recent progress on the heat flow in Finsler geometry
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：夏巧玲（杭州电子科技大学）
：2022-11-22 14:30
：腾讯会议ID：800-197-900（无密码）
报告人：夏巧玲（杭州电子科技大学）
时 间：11月22日下午14:30-16:00
地 点：腾讯会议ID：800-197-900（无密码）
内容摘要:
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.
个人简介：
夏巧玲，杭州电子科技大学特聘教授，博士生导师。目前主要从事芬斯勒流形上整体分析与拓扑的研究，在Math.Z., J. Geom. Anal., Comm. Anal. Geom, Differential Geom. Appl., Sci. China Math.等已发表数十篇学术论文，并主持多项国家自然科学基金项目。
联系人：夏超
