School of Mathematical Sciences

Existence and uniqueness of Green's function to a nonlinear Yamabe problem menu

Existence and uniqueness of Green's function to a nonlinear Yamabe problem

Speaker: 
Luc Nguyen (Oxford)
Date/Time: 
Wed, 06/12/2017 - 16:00
Room: 
W316
Seminar series: 

For a given finite subset $S$ of a compact Riemannian manifold $(M,g)$ whose Schouten curvature tensor belongs to a given cone, we prove the existence and uniqueness of a conformal metric on $M \setminus S$ such that each point of $S$ corresponds to an asymptotically flat end and that the Schouten tensor of the new conformal metric belongs to the boundary of the given cone. Joint work with Yanyan Li.