学术报告(葛建全 1.4)
The volume gap for minimal submanifolds in spheres
发布人:肖怡霏
发布日期:2021-12-31
主题
The volume gap for minimal submanifolds in spheres
活动时间
-
活动地址
腾讯会议 会议ID: 729 882 928
主讲人
葛建全 教授 北京师范大学
主持人
张会春
We show there is a volume gap for nonembedded closed minimal submanifolds in spheres, generalizing Li-Yau’s result from 2 dimension to arbitrary dimension and in particular, proving the Solomon-Yau conjecture for nonembedded case. Besides, for certain minimal CSC hypersurfaces, we also obtain some volume gap results, improving the general gap of Cheng-Li-Yau in these special cases.