Capacity, fill-ins, and quasi-local mass

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

10 September 11:00 - 12:00

Christos Mantoulidis - Massachusetts Institute of Technology, MIT

(Joint work with P. Miao and L.-F. Tam.) We derive new inequalities between the boundary capacity of an asymptotically flat 3-manifold with nonnegative scalar curvature and boundary quantities that relate to quasi-local mass; one relates to Brown-York mass and the other is new. Among other things, our work yields new variational characterizations of Riemannian Schwarzschild manifolds and new comparison results for surfaces in them.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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