李光汉教授学术报告

应我院邀请，武汉大学数学与统计学院李光汉教授将于2018年5月17-18日前来郑州大学访问并作学术报告。

报告题目：Curvature Flow of Pinched Hypersurfaces in Space Forms

报告人：李光汉教授（武汉大学）

时间：2018年5月18日（星期五）上午9:00—12:00

地点：数学与统计学院310报告厅

报告内容摘要：In this talk, I first introduce mean curvature flow briefly, and then mainly consider closed hypersurfaces immersed in a space of constant sectional curvature evolving in direction of its outer unit normal vector with speed given by a general curvature function of principal curvatures, such that the initial hypersurface is pinched in the sense that the ratio of the biggest and smallest principal curvatures of the hypersurface is close enough to 1 everywhere. We prove that the pinching is preserved as long as the flow exists, and the flow shrinks to a point in finite time. Especially, if the speed is a high order homogeneous function, the normalized flow exists for all time and converges smoothly and exponentially to a round sphere in Euclidean space.