4-8【王鹏】On Willmore problem for surfaces and submanifolds in spheres

发布时间:2024-03-17来源:几何与物理研究中心中文网页浏览次数:31

报告人:王鹏(福建师范大学)

时间:2024年4月8日 16:00-17:00

地点:五教5205



In this talk we will report our recent works on the Willmore problem for surfaces and submanifolds in spheres. For the case of surfaces, we will introduce the classification of Willmore two-spheres, characterization of Clifford torus and Lawson's embedded minimal surface \xi_{𝑚,𝑘}. For submanifolds, we will show the construction of \lambda_1 minimal flat 3-tori and 4-tori in spheres. We will also consider the index of minimal submanifolds in spheres as well as Willmore stability of some minimal submanifolds.