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太阳成集团tyc411

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:20231114(星期二)上午10:30-11:30 

地点:海纳苑2202

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)


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