学术报告

Mean Curvature Flow of Surfaces in a Hyperkaehler 4-Manifold

发布时间:2019-05-31  阅读次数:1250

题目:Mean Curvature Flow of Surfaces in a Hyperkaehler 4-Manifold
报告人:邱红兵 副教授(武汉大学)
地点:致远楼 101 室
时间:2019 年 05 月31 日 9:30-10:30
摘要:In this talk, we firstly prove that every hyper-Lagrangian submanifold L^{2n}(n > 1) in a hyperkaehler 4n-manifold is a complex Lagrangian submanifold. Secondly, we study the geometry of hyper-Lagrangian surfaces and demonstrate an optimal rigidity theorem with the condition on the complex phase map of self-shrinking surfaces in R^4 . Last but not least, we show that the mean curvature flow from a closed surface with the image of the complex phase map contained in S^2\(S^1_{+}) in a hyperkaehler 4-manifold does not develop any Type I singularity. This is a joint work with Dr. Linlin Sun.

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