Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Langue
en
Article de revue
Ce document a été publié dans
Journal of the European Mathematical Society. 2020-10-09, vol. 23, n° 1, p. 153 - 184
European Mathematical Society
Résumé en anglais
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author ...Lire la suite >
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This generalises the main result of the fourth author [Mar12] in the compact case. The proof uses Ricci flow with surgery as well as arguments involving performing infinite connected sums with control on the geometry.< Réduire
Mots clés en anglais
Scalar curvature
Ricci flow
open manifolds
3-manifolds
Origine
Importé de halUnités de recherche