报告名称:Mixed volume preserving flow by powers of homogeneous curvature functions of degree one
报告专家: 郭顺滋
专家所在单位:云南师范大学
报告时间:2021年7月6日 15:00-16:00
报告地点:腾讯会议
专家简介:郭顺滋,男,在威廉希尔体育取得博士学位,后在四川大学进行博士后研究工作,现任云南师范大学副教授,硕士研究生导师。主持国家自然科学基金1项,省部项目5项。主要研究方向是子流形的微分几何和几何分析,已在Communications in Analysis and Geometry、International Journal of Mathematics、Journal of the Korean Mathematical Society、数学学报等数学期刊上发表论文十余篇、出版学术专著一部。
报告摘要:In this talk, we will considerthe evolution of a closed hypersurface inthe Euclidean spaceunder a mixed volume preserving flow.The speedisa power(
)ofhomogeneous curvature functions of degree one and either convex or concave plus a mixed volume preserving term.We will showthat if the initial hypersurfacesatisfies a suitable pinching condition, there exists a unique, smooth solution of the flow for all times,and the evolving hypersurfaces converge exponentially to a roundsphere, enclosing the same mixed volume as the initial hypersurface.
邀请人:毛井
(审稿:郑大彬)