Existence of embedded minimal tori in three-spheres with positive Ricci curvature

发布时间：2025-03-24 作者：王志超浏览次数：

Speaker:	王志超	DateTime:	2025年3月24日（周一）上午10:30-11:30
Brief Introduction to Speaker: 王志超教授（复旦大学、上海数学中心）		Place:	新文科楼四楼406
Abstract:In this joint work with Xingzhe Li, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci curvature, there exist at least 4 distinct embedded minimal tori. Suppose in addition that the metric is bumpy, then the three-sphere contains at least 9 distinct embedded minimal tori.