Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

：尹佳斌（广西师范大学）
：2025-04-08 10:00
：海韵园实验楼S206

报告人：尹佳斌（广西师范大学）

时  间：2025年4月8日10:00

地  点：海韵园实验楼S206

内容摘要:

In this talk, we establish a Willmore-type inequality for closed hypersurfaces in a complete Riemannian manifold of dimension n + 1 with Ric ≥ −ng. It extends the classic result of Argostianiani, Fogagnolo and Mazzieri into the Riemannian manifold of negative curvature. As an application, we construct a new Willmore-type inequality for closed hypersurfaces in hyperbolic space and obtain the characterization of geodesic sphere. This is a jiont work with Professor Xiaoshang Jin.

个人简介：

尹佳斌，广西师范大学副教授，硕士生导师。主持国家自然科学基金两项，主持广西省基金两项。在Adv. Math.、Calc. Var. Partial Differential Equations 、 Sci. China Math.等期刊发表论文十多篇。

 

联系人：夏超