Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Language
en
Article de revue
This item was published in
Journal of the European Mathematical Society. 2020-10-09, vol. 23, n° 1, p. 153 - 184
European Mathematical Society
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Scalar curvature
Ricci flow
open manifolds
3-manifolds
Origin
Hal imported