报告人：Kwok-Kun Kwong助理教授

台湾成功大学

报告题目：Weighted Hsiung-Minkowski formulas and rigidity of hypersurfaces

报告时间：2016年11月18日上午10:00

报告地点：海韵实验楼105

联系人：

报告摘要：

The well-known Alexandrov theorem states that the only closed embedded surfaces with constant mean curvature in Euclidean space are the round spheres. There are many generalizations, commonly known as rigidity theorems. In this talk I am going to illustrate how we can use the weighted Hsiung-Minkowski formulas to obtain a simple proof of these kinds of rigidity results. More precisely, I will give Alexandrov type results for closed embedded hypersurfaces with radially symmetric higher order mean curvature in a large class of warped product manifolds, including space forms. I will also show the rigidity of closed immersed self-expanding solitons to the weighted generalized inverse curvature flow. Part of it is joint work with Hojoo Lee and Juncheol Pyo..

报告人简介：

Dr. Kwok-Kun Kwong's research interest lies in differential geometry, Riemannian/Lorentzian geometry and mathematical relativity in a broad sense. More specifically, he has worked on problems concerning quasi-local masses, integral formulas and inequalities on manifolds, and eigenvalue estimates. He was graduated from The Chinese University of Hong Kong in 2011, under the supervision of Prof. Luen-Fai Tam. Before joining the National Cheung Kung University, he  had worked at Monash University and University of Miami.。

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