Séminaires : Séminaire de Géométrie

Equipe(s) : gd,
Responsables :L. Hauswirth, P. Laurain, R. Souam, E. Toubiana
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Archive avant 2014

Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG



Orateur(s) Bruno PREMOSELLI - ULB, Bruxelles ,
Titre Examples of Compact Einstein four-manifolds with negative curvature.
Horaire15:15 à 16:30
RésumeWe construct new examples of closed, negatively curved Einstein four-manifolds. More precisely, we construct Einstein metrics of negative sectional curvature on ramified covers of compact hyperbolic four-manifolds with symmetries, initially considered by Gromov and Thurston. These metrics are obtained through a deformation procedure.
Our candidate approximate Einstein metric is an interpolation between a black-hole Riemannian Einstein metric near the branch locus and the pulled-back hyperbolic metric. We then deform it into a genuine solution of Einstein’s equations, and the deformation relies on an involved bootstrap procedure. Our construction yields the first example of compact Einstein manifolds with negative sectional curvature which are not locally homogeneous.
This is a joint work with J. Fine (ULB, Brussels).
AdresseSophie Germain