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 $n \ge 6$.