Speaker: Chao Xia（Xiamen University）
Time: 14:00-15:00, Dec 15, 2022
Room: Tencent Meeting: 942 373 468, no password
In this talk, we study stability of capillary CMC hypersurfaces. We prove that a capillary CMC hypersurface in a geodesic ball in space forms or a horoball in hyperbolic space is stable if and only if it is umbilical. In particular, the relationship between the stability problem and the estimate for the second Robin eigenvalue of the Jacobi operator will be mentioned. This is based on the joint work with Jinyu Guo and Guofang Wang.
