12-15【夏超】Stable capillary CMC hypersurfaces and the second Robin eigenvalue

发布时间:2022-12-12来源:几何与物理研究中心中文网页浏览次数:81

报告人:夏超(厦门大学)

时间:2022年12月15日 14:00-15:00

地点:腾讯会议号:942 373 468,无需密码



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.