Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Résumé
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.
Domaines
Géométrie différentielle [math.DG]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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