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Article Dans Une Revue Journal of the European Mathematical Society Année : 2020

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.
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Dates et versions

hal-03945317 , version 1 (18-01-2023)

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Laurent Bessières, Gérard Besson, Sylvain Maillot, Fernando C Marques. Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. Journal of the European Mathematical Society, 2020, 23 (1), pp.153 - 184. ⟨10.4171/jems/1008⟩. ⟨hal-03945317⟩
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