Séminaire de GéométrieJang's equation
Anna Sakovich (Stockholm)
vendredi 27 mai 2011 14:00 - Tours - Salle 2290 (Bât E2)
Let (M,g,k) be an initial data set for Einstein's equations of General Relativity. Jang's equation is a prescribed mean curvature equation for the graph of a function in M \times R. The blow-up sets for solutions of this equation are known as marginally outer trapped surfaces (MOTS), they satisfy an analogous equation. In this talk we will review the work by Schoen and Yau on existence theory for Jang's equation and its application to the proof of the positive mass theorem; we will also discuss the existence of MOTS.