|GEOMETRIC PDE SEMINAR|
|Topic:||Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations|
|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 $n \ge 6$.