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Pré-Publication, Document De Travail Année : 2017

Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature

Laurent Bessières
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Gérard Besson

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 generalizes 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.
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Dates et versions

hal-01628796 , version 1 (04-11-2017)

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Laurent Bessières, Gérard Besson, Sylvain Maillot, Fernando Coda Marques. Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. 2017. ⟨hal-01628796⟩
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