Santiago Cordero-Misteli

Compactness and Noncompactness for the Positive Yamabe--Escobar Problem with Minimal Boundary

We study the Yamabe--Escobar equation prescribing positive constant scalar curvature and minimal boundary. The compactness conjecture asks whether being conformally equivalent to the round hemisphere is the only obstruction for its set of positive solutions to be compact. In this paper we show that this is true for dim...