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题目：Total Squared Mean Curvature of Submanifolds in a Cartan-Hadamard Manifold 

报告人：胥世成 教授（首都师范大学）

地点：腾讯会议 ID：487 135 210

时间：2021年7月6日 14：30-15:30

摘要：This is an introduction about the recent progress on some open problems and conjectures about the total squred mean curvature in a Cartan-Hadamard manifold. The integral of geodesic curvature of curves represents the beding energy of a spingy wire, the study of which was initiated at the birth of the calculus of variations by J. Bernoulli in 1690s, and was extensively studied by Euler in 1740s. The total squared mean curvature of surfaces, nowdays called the Willmore energy, naturally raised up in the study of vibrating properties of thin plates in the 1810s. We will talk about the relationship of this energy and the first eigenvalue of Laplacian of a submanifold in a negatively curved space..

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