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数苑经纬讲坛(13):Scalar curvature rigidity of compact manifolds

发布时间:2025-09-01 作者: 浏览次数:

报告时间:2025年6月27日(周五)上午 10:00-11:000

报告地点:国交2号楼315会议室

报告人:柴小祥

报告人简介:柴小祥博士毕业于香港中文大学,现为浦项科技大学 BK21 研究员。他的研究领域为极小曲面,数量曲率,相对论相关的几何和方程的研究。

Abstract:Scalar curvature exhibits several rigidity properties, for instance, the positive mass theorem, the Geroch conjecture, and the more recent Gromov dihedral rigidity. In 1998, Llarull established a rigidity result for metrics on the round sphere under scalar curvature and metric comparison. In this talk, I report on recent progress toward understanding scalar curvature rigid domains and generalize Llarull type result in a warped product, where the warping function satisfies a log-concavity condition. This talk is based on joint works with Gaoming Wang (YMSC, Beijing) and Xueyuan Wan (CQUT, Chongqing).