Singular harmonic maps and the mass-angular momentum inequality
主讲人:Prof. Han Qing(Department of Mathematics, University of Notre Dame) 
活动地址:腾讯会议 ID: 245 843 338  

Abstract: Motivated by studies of axially symmetric stationary solutions of the Einstein vacuum equations in general relativity, we study singular harmonic maps from domains of the 3-dimensional Euclidean space to the hyperbolic plane, with bounded hyperbolic distance to extreme Kerr harmonic maps.  We prove that every such harmonic map has a unique tangent map at the black hole horizon. As an application, we establish an explicit and optimal lower bound for the ADM mass in terms of the total angular momentum, in asymptotically flat, axially symmetric, and maximal initial data sets for the Einstein equations with multiple black holes.

前沿课程 | 广西数学研究中心2023年研究生前沿课程招生简章
前沿课程 | 广西数学研究中心2022年研究生前沿课程录取名单