科学研究
报告题目:

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

报告人:

王志超 教授(复旦大学 上海数学中心)

报告时间:

报告地点:

武汉大学雷军科技楼446报告厅

报告摘要:

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.