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arXiv · 1711.02457

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

Laurent Bessières·Gérard Besson·Sylvain Maillot·Fernando Coda Marques
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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 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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Laurent Bessières, Gérard Besson, Sylvain Maillot, Fernando Coda Marques. 2017-11-07. Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature. https://arxiv.org/abs/1711.02457

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