|GUEST LECTURE IN GEOMETRIC PDE|
|Topic:||Complete Conformal Metrics of Negative Ricci Curvature on Compact Riemannian Manifolds with Boundary|
|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 $\det (- Ric) = 1$.