数学科学系

Department of Mathematical Sciences

A new Minkowski formula for free boundary hypersurfaces

报告人:Prof. Guofang Wang  (University of Freiburg)

时间:2018928日(星期五)15:00 -- 16:00

地点:理科楼数学系A-109

联系人:李海中

摘要:In the first part of the talk we introduce  a new Minkowski formula for free boundary hypersurfaces. Using this formula we solve the stability problem for free boundary CMC hypersurfaces, which is a longstanding open problem. Moreover we use it to establish various geometric inequalities, from which we give a proof of Alexandrov type theorem. In the second part by using this Minkowski formula we introduce two classes of curvature flows for free boundary hypersurfaces, following the ideas of Guan-Li. With these flows we solve various isoperimetric problems for free boundary hypersurfaces.

This talk is based on the joint work with Xia Chao and Julian Scheuer.