On the Morse index of minimal tori in S^4
发布时间:2018-05-28 点击次数:
报告题目: | On the Morse index of minimal tori in S^4 |
报 告 人: | 王鹏 教授(同济大学) |
报告时间: | 2018年05月29日 16:00--17:00 |
报告地点: | 理学院东北楼四楼报告厅(404) |
报告摘要: | Urbano's Theorem plays an important geometric role in the proof of Willmore conjecture, which states that a non-totally-geodesic closed minimal surface x in S^3 has index at least 5 and it is congruent to the Clifford torus if the index is 5. In this talk we will provide a generalization of Urbano's Theorem to minimal tori in S^4 by showing that a minimal torus in S^4 has index at least 6 and it is congruent to the Clifford torus if the index is 6. This is a joint work with Prof. Rob Kusner(UMass Amherst). |