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现代数学前沿讲座第083讲 尹佳斌(广西师范大学)

发布日期:2024-05-29  来源:   点击量:

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