中科院数学与系统科学研究院
数学研究所
数学物理研讨班
报告人：Prof. Miao Pengzi（University of Miami, USA）
题 目：Scalar curvature and boundary mean curvature
时 间：2019.06.17（星期一），10:00-11:00
地 点：数学院南楼N913室
摘 要： Scalar curvature is the simplest curvature invariant in Riemannian geometry. In general relativity, it relates to matter distribution along spacelike hypersurfaces in spacetimes. If the underlying manifold is noncompact, fundamental results on manifolds with nonnegative scalar curvature include the Riemannian positive mass theorem and the Riemannian Penrose inequality. In this talk, we discuss implications of those theorems to compact manifolds with boundary. More precisely, we seek to understand how nonnegative scalar curvature of a compact manifold influences the mean curvature of its boundary surface.
