[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【08月02日】陳怡敏 / Heintze-Karcher type inequality for capillary hypersurfaces in hyperbolic space
by 温湘婷 | 2023-07-31 15:31:49
Heintze-Karcher type inequality for capillary hypersurfaces in hyperbolic space
時 間:2023-08-02 14:00 (星期三) / 地 點:M212
陳怡敏 博士
(Pusan National University)
In this talk, I will introduce our recent result on Heintze Karcher type inequality for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. Furthermore, we have established a Minkowski type formula, which, when combined with the Heintze-Karcher type inequality, enables us to prove the Alexandrov type theorem. In addition, I will introduce some other rigidity result for capillary hypersurfaces in the half Poincare model. This talk is mainly based on the joint work with Prof. Juncheol Pyo.