Scalar curvature rigidity of compact manifolds

发布时间：2025-06-26 作者：浏览次数：

Speaker:	柴小祥	DateTime:	2025年6月27日（周五）上午 10:00-11:00
Brief Introduction to Speaker: 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。		Place:	国交2号楼315会议室
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).