The volume gap for minimal submanifolds in spheres
時 間:2023-09-20 14:00 (星期三) / 地 點:Online
Zoom: 811 5638 1768 (Password : msrc)
李發貴 博士
(北京大學國際數學研究中心)
We show there is a volume gap for nonembedded closed minimalsubmanifolds in spheres, generalizing Li-Yau’s result from 2 dimension toSolomon-Yauarbitrary dimension and in particular, proving theconjecture for nonembedded case. Besides, for certain minimal CSChypersurfaces, we also obtain some volume gap results,improving thegeneral gap of Cheng-Li-Yau in these special cases. This talk is based onjoint work with Professor Jianquan Ge.