Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations

GEOMETRIC PDE SEMINAR
Topic:Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations
Speaker:Emmanuel Hebey
Affiliation:Universite de Cergy-Pontoise, France
Date:Thursday, October 23
Time/Room:1:30pm - 3:30pm/S-101

We discuss Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds from the viewpoint of existence results and stability issues. We prove that the Einstein-scalar field Lichnerowicz equation is stable when $n \le 5$, and instable when $n \ge 6$.