Joint Princeton-Rutgers Seminar on Geometric PDE's
Some existence and non-existence results for Poincare-Einstein metrics
Matthew Gursky: University of Notre Dame
Location: Hill 705
Date & time: Tuesday, 18 April 2017 at 3:00PM - 3:11PM
I will begin with a brief overview of the existence question for conformally compact Einstein manifolds with prescribed conformal infinity. After stating the seminal result of Graham-Lee, I will discuss a non-existence result (joint with Qing Han) for certain conformal classes on the 7-dimensional sphere. I will also mention some ongoing work (with Gabor Szekelyhidi) on a version of 'local existence' of Poincare-Einstein metrics.