Séminaire de Géométrie

Initial data rigidity results

by Abraao Mendes (Universidade Federal de Alagoas )

1180 (Bât. E2) (Tours)

1180 (Bât. E2)



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.