高山泽副教授学术报告:Closed self-similar solutions to flows by negative powers of curvature

发布时间:2024-06-12 浏览次数:10

报告人:高山泽副教授

报告时间:2024年6月14日下午4:00-6:00

报告地点:腾讯会议:784-344-172,育才校区数学楼304

报告题目:Closed self-similar solutions to flows by negative powers of curvature


报告人简介:高山泽,广西大学副教授。主要研究方向为微分几何,特别是曲率流自相似解的唯一性和相关超曲面的刚性问题。在J. Reine Angew. Math.,Calc. Var. Partial Differential Equations,J. Geom. Anal.等学术期刊上发表论文多篇。


报告摘要:Closed self-similar solutions to flows are closed hypersurfaces evolve self-similarly under curvature flows. We consider the cases whose speed functions are given by negative powers of 1-homogeneous functions of principal curvatures with certain properties. We will discuss the uniqueness of these self-similar solutions under several conditions.