Session S19 - Geometric and Analytic Aspects of General Relativity

Thursday, July 15, 16:00 ~ 17:00 UTC-3

Fillins with nonnegative scalar curvature

Christos Mantoulidis

Rice University and Brown University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We discuss the problem of finding a compact Riemannian manifold with mean-convex boundary and nonnegative scalar curvature, given a prescribed metric on the boundary. This problem relates to quasi-local mass, and despite some important recent progress, many basic open questions remain.

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