| GUEST LECTURE IN GEOMETRIC PDE | |
| Topic: | Complete Conformal Metrics of Negative Ricci Curvature on Compact Riemannian Manifolds with Boundary |
| Speaker: | Bo Guan |
| Affiliation: | Ohio State University |
| Date: | Tuesday, November 4 |
| Time/Room: | 1:30pm - 2:30pm/S-101 |
We consider the problem of finding complete conformal metrics determined by a symmetric function of Ricci tensor in a negative convex cone on compact manifolds. A consequence of our main results is that any smooth bounded domain in Euclidean space of dimension greater or equal to 3 admits a complete conformally flat metric of negative Ricci curvature with the $\det (- Ric) = 1$.