Yamabe Problem.

Geometry Topology Student Seminar
Wednesday, April 30, 2014 - 14:05
1 hour (actually 50 minutes)
Skiles 006.
Georgia Tech.
Given a Riemannian manifold $(M,g)$, does there exist  a metric $g'$ on $M$ conformal to $g$ such that $g'$ has constant scalar curvature? This question is known as the Yamabe problem. Aim of this talk is to give an overview of the problem and discuss and develop methods that go into solving a few of intermediate results in the solution to the problem in full generality.