On the classification of static three-manifolds with positive scalar curvature

Orateur: AMBROZIO Lucas
Localisation: Imperial College de Londres, Royaume-Uni
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 2018
Date de début: 09/11/2015 - 13:30
Date de fin: 09/11/2015 - 13:30

A Riemannian manifold is called static when it admits a non-trivial solution to a certain equation that appears both in Geometry (e.g, in the problem of prescribing the scalar curvature) and in Physics (e.g., in the study of static space-times). The staticity condition is very restrictive, specially in dimension three. We will discuss some classification results in the positive scalar curvature case.