Gluing collars to manifolds; how and why

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

28 November 11:00 - 12:00

Stephen McCormick - Uppsala University

We review a procedure to glue together Riemannian manifolds with non-negative scalar curvature by first attaching a small "collar" to the manifold. We will then review some applications of this construction to problems related to the Bartnik mass and a geometric inequality in general relativity. This is based on joint work with Armando Cabrera Pacheco, Carla Cederbaum, and Pengzi Miao.
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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