报告题目:Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below
报告摘要:In this paper, 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 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.
报告人简介: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青年项目和数学天元访问学者项目,主持广西省基金两项。在Adv. Math.、Calc. Var. Partial Differential Equations 、 Sci. China Math.、 J. Geom. Anal.、 Proc. Roy. Soc. Edinburgh Sect. A等期刊发表论文十多篇。
报告时间:2024年5月31日 14:00-15:00
报告地点:同析4号楼 322会议室