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arXiv · 1211.4103

Long time behaviour of Ricci flow on open 3-manifolds

Laurent Bessières·Gérard Besson·Sylvain Maillot
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Abstract

We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact $3$-manifold of finite volume whose universal cover has bounded geometry. As an application, we give a Ricci flow proof of Thurston's hyperbolisation theorem for $3$-manifolds with toral boundary that generalizes Perelman's proof of the hyperbolisation conjecture in the closed case.

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Laurent Bessières, Gérard Besson, Sylvain Maillot. 2014-05-21. Long time behaviour of Ricci flow on open 3-manifolds. https://arxiv.org/abs/1211.4103

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