[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【09月20日】李發貴 / The volume gap for minimal submanifolds in spheres

by 温湘婷 | 2023-09-19 08:50:53

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.

 

Organizers:

Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi

Source URL: https://virtual.math.ntnu.edu.tw/index.php/2023/09/19/20230920onlinespeech/