Initial data rigidity results

par Abraao Mendes (Universidade Federal de Alagoas )

mardi 23 nov. 2021, 10:20 → 12:20 Europe/Paris

1180 (Bât. E2) (Tours)

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.