报告题目: Rigidity of compact quasi-Einstein manifolds with boundary

报告人：周德堂教授（Universidade Federal Fluminense, Brazil）

时间： 2025年7月10日(周四)  15:30-16:30

地点: 理科楼A404

摘要：In this talk, I will present the classification of compact quasi-Einstein manifold with boundary with constant scalar curvature when the dimensions are three and four. We show that a 3-dimensional simply connected compact m-quasi-Einstein manifold with boundary and constant scalar curvature must be isometric, up to scaling, to either the standard hemisphere , or the cylinder over with the product metric. For dimension , we prove that a 4-dimensional simply connected compact -quasi-Einstein manifold with boundary and constant scalar curvature is isometric, up to scaling, to either the standard hemisphere , or the cylinder over with the product metric, or the product space with the doubly warped product metric. This is a joint work with E. Ribeiro Jr and J. Costa.

报告人简介: 周德堂，1991年获山东大学博士学位，曾为山东大学教授(1996)，复旦大学，日本东北大学博士后，IMPA, IHES, 加州大学、MIT等访问教授。在数学多个领域获得重要结果，论文发表在诸如J. Differential Geom.,Trans. Amer. Math. Soc.,Math. Ann.,Amer. J. Math., J. Reine Angew. Math.等杂志上。现为巴西Fluminense联邦大学教授。

邀请人：李海中，马辉，陈大广