报告人:王鹏教授
福建师范大学
题目:On the Morse index of minimal tori in S^4
时间:2018年03月23日下午16:00
地点:海韵实验楼105
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).
报告人简介:王鹏,福建师范大学数学与信息学院教授,2008年博士毕业于北京大学9001cc金沙,研究领域为微分几何,主要研究Willmore曲面和极小曲面的整体性质,在Journal of Differential Geometry和Advances in Mathematics等杂志上发表多篇文章。
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