$C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary

GEOMETRIC PDE SEMINAR
Topic:$C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary
Speaker:Hoai-Minh Nguyen
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.