Session S19 - Geometric and Analytic Aspects of General Relativity

Thursday, July 15, 19:00 ~ 20:00 UTC-3

Initial data rigidity results

Abraão Mendes

Universidade Federal de Alagoas, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this lecture we aim to present some rigidity results for initial data sets that are motivated by the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces (MOTS) are weakly outermost. As a special case, our results include a rigidity result for Riemannian manifolds with a lower bound on their scalar curvature.

Joint work with Michael Eichmair (University of Vienna, Austria) and Gregory J. Galloway (University of Miami, USA).

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