04-06【杨 博】腾讯会议 几何分析讨论班

发布者:万宏艳发布时间:2021-04-02浏览次数:244

报告人:杨博(中科院数学所)


时间:2021年4月6日周二9:30-11:30


腾讯会议:518 7997 8794


题目:A Mean Curvature Type Flow in Space Forms II


摘要:In the last talk, we have introduced a new type of mean curvature flow for bounded star-shaped domains in space forms and give a priori estimates for the solution of the flow. In this talk, we will prove its longtime existence, exponential convergence without any curvature assumption. Moreover, for a bounded convex domain in $R^{n+1}$ , the quermassintegrals evolve monotonically along the flow which allows us to prove a class of Alexandrov-Fenchel inequalities of quermassintegrals.


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