100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Jian Wang

Contractible 3-manifolds and Positive scalar curvature
Jeudi, 26 Septembre, 2019 - 14:00
Résumé :

It is not known that 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 $\mathbb{R}^3$. In this talk, I will present the proof that  the Whitehead manifold has no 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 with positive scalar curvature.

Institution de l'orateur :
Institut Fourier
Thème de recherche :
Théorie spectrale et géométrie
Salle :
4