J. Wang - Topological rigidity and positive scalar curvature

Jian Wang (1) , Hugo Béchet (2) , Fanny Bastien (2)

1 UC Berkeley's Mathematics Department
2 IF - Institut Fourier

In this talk, we shall describe some topological rigidity and its relationship with positive scalar curvature. Precisely, we will present a proof that a complete contractible 3-manifold with positive scalar curvature is homeomorphic to the Euclidean 3-space. We will furthermore explain the interplay between, minimal surfaces, scalar curvature and the topology at infinity.

Mots clés: eem2021; grenoble; curvature constraints and spaces of metrics; topological rigidity; positive scalar

Mots clés: contraintes de courbures et espaces métriques

Domaines: Mathématiques [math]

Jian Wang, Hugo Béchet, Fanny Bastien. J. Wang - Topological rigidity and positive scalar curvature: Summer School 2021 - Curvature Constraints and Spaces of Metrics. 2021. ⟨hal-03324484⟩