浙大-西湖几何分析讨论班——Existence of embedded minimal tori in three-spheres with positive Ricci curvature
来源:数学科学学院
发布时间:2025-05-20
10
报告人:王志超 青年研究员(复旦大学)
时 间:2025年5月22日(星期四),下午14:00-15:00
地 点:海纳苑2幢206
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.
联系人:江文帅(wsjiang@zju.edu.cn)