Séminaire de Géométrie

Initial data rigidity results

by Abraao Mendes (Universidade Federal de Alagoas )

Europe/Paris
1180 (Bât. E2) (Tours)

1180 (Bât. E2)

Tours

Description

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.