学术报告：On energy gap phenomena of the Whitney spheres in a complex space form
发布时间：2021-10-20 浏览次数：201
报告人：罗勇
报告时间：2021年10月25日11:00-12:00
报告地点：雁山理2-402
报告题目：On energy gap phenomena of the Whitney spheres in a complex space form
报告人简介：罗勇，重庆理工大学数学科学研究中心特聘教授。本科毕业于武汉大学，2013年12月在德国弗莱堡大学取得博士学位。罗勇现阶段的主要研究兴趣为几何变分问题，包括Willmore泛函，体积泛函的几何限制变分问题，双调和映射的分析与几何等。已在Calc. Var. Partial Differential Equations, J. Differential Equations, J. Geom. Anal., Comm. Anal. Geom., Pacific J. Math.等国际著名数学期刊上发表论文20余篇。
报告摘要：In the theory of Lagrangian submanifolds of a complex space form, the Whitney spheres play a similar role as that of totally umbilical hypersurfaces in a real space form. In this talk we introduce new higher order partial differential equations satisfied by the Whitney spheres and give new characterization of them as solutions to these equations which satisfy certain pointwise or integral extrinsic curvature assumptions. This talk is based on joint works with Dr. Jiabin Yin and Dr. Liuyang Zhang.