MATH Seminar

Title: Existence and uniqueness of Green's function to a nonlinear Yamabe problem
Colloquium: Analysis and Differential Geometry
Speaker: Yanyan Li of Rutgers University
Contact: Vladimir Oliker, oliker@emory.edu
Date: 2018-10-18 at 4:00PM
Venue: MSC W303
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Abstract:
For a given finite subset S of a compact Riemannian manifold (M; g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M minus 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. This is a joint work with Luc Nguyen.

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