|GEOMETRIC PDE SEMINAR|
|Topic:||$C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary|
|Affiliation:||Member, School of Mathematics|
|Date:||Tuesday, February 10|
|Time/Room:||3:30pm - 4:30pm/S-101|
In recent years, fully nonlinear versions of the Yamabe problem have received much attention. In particular, for manifolds with boundary, $C^1$ and $C^2$a priori estimates have been proved for a large class of data. To get an existence result, it is important to establish a C0 bound. I will describe my joint work with Yanyan Li in this direction for locally conformally flat manifolds with umbilic boundary.