Séminaire de Géométrie
Initial data rigidity resultsAbraao Mendes (Universidade Federal de Alagoas )
Tuesday 23 November 2021 10:20 - Tours - 1180 (Bât. E2)
Résumé :
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.
Liens :