浙大-西湖几何分析讨论班—Existence of four minimal spheres in S^3 with a bumpy metric
来源:太阳成集团tyc411
发布时间:2023-11-06
27
报告人:王志超(复旦大学)
时间:2023年11月14日(星期二)上午10:30-11:30
地点:海纳苑2幢202
摘要:In this talk, we show that in the three dimensional sphere with a bumpy metric or a metric with positive Ricci curvature, there exist at least four distinct embedded minimal two-spheres. This confirms a conjecture of S. T. Yau in 1982 for bumpy metrics and metrics with positive Ricci curvature. The proof relies on a multiplicity one theorem for the Simon-Smith min-max theory. This is a joint work with Xin Zhou.
联系人:江文帅老师(wsjiang@zju.edu.cn)