学术活动
On the spacetime positive mass theorem in dimension less than eight
2011-06-23
来源:科技处 点击次数:主讲人:Lan-Hsuan Huang 教授 (美国哥伦比亚大学)
时 间:6月23日(周四)14:50-15:50
地 点:数学科学学院 201 教室
备 注:摘要:The spacetime positive mass theorem asserts that the ADM energy-momentum vector is timelike provided the dominant energy condition holds. Previously, this theorem was only proven for spin manifolds. In a recent joint work with Michael Eichmair, Dan Lee, and Rick Schoen, we prove the theorem in dimension less than eight. I will describe our proof which is a modification of the minimal hypersurface technique that was used by Schoen and Yau for the time symmetric case. Instead of minimal hypersurfaces, we use marginally outer trapped hypersurfaces.