logo IMB
Retour

Séminaire de Géométrie

Contractible 3-manifold and Positive scalar curvature

Jian Wang

( Grenoble )

Salle 2

le 21 juin 2019 à 10:45

It is not known whether a contractible 3-manifold admits a complete metric of positive scalar curvature. For example, the Whitehead manifold is a contractible 3-manifold but not homeomorphic to R3R^{3}. In this talk, I will present my proof that it does not have a complete metric with positive scalar curvature. I will further explain that a contractible genus one 3-manifold, a notion introduced by McMillan, does not admit a complete metric of positive scalar curvature.