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Surfaces moving by powers of Gauss curvature
陈旭忠 博士后 (清华大学)
2018-01-01 12:13  华东师范大学

题目(Title):Surfaces moving by powers of Gauss curvature
报告人: 陈旭忠 博士后 (清华大学)
地点: 闵行数学系102报告厅
时间: 12月21日(周三) 13:00-14:00
摘要(Abstract):
In this talk, we will consider surfaces moving by powers of Gauss curvature in three-dimensional Euclidean space. We prove that strictly convex surfaces moving by $K^{\alpha/2}$ become spherical as they contract to points, provided $\alpha$ lies in the range $[1,2]$. In the process we provide a natural candidate for a curvature pinching quantity for surfaces moving by arbitrary functions of curvature, by finding a quantity conserved by the reaction terms in the evolution of curvature.