Abstract: Given a class of conformally compact Einstein manifolds with boundary, we are interested to study the boundary behavior of their compactified metrics. I will report some joint work with Yuxin Ge on a compactness result in a 3+1 setting, which is a study of some 4th order elliptic system with some matching 3rd order
boundary conditions and the correponding choice of conformal representatives


Compactness of conformally compact Einstein manifolds in dimension 4
Kähler Geometry, Einstein Metrics, And Generalizations March 21, 2016 - March 25, 2016
March 23, 2016 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Sun-Yung Chang (Princeton University)
Location: MSRI: Simons Auditorium


http://www.msri.org/workshops/704/sch...