JournalscmhVol. 90, No. 2pp. 377–405

Long time behaviour of Ricci flow on open 3-manifolds

  • Laurent Bessières

    Université Bordeaux 1, Talence, France

  • Gérard Besson

    Université Joseph Fourier, Grenoble, Saint-Martin-D'hères, France

  • Sylvain Maillot

    Université Montpellier II, France
Long time behaviour of Ricci flow on open 3-manifolds cover
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Abstract

We study the long time behaviour of the 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 generalises Perelman’s proof of the hyperbolisation conjecture in the closed case.

Cite this article

Laurent Bessières, Gérard Besson, Sylvain Maillot, Long time behaviour of Ricci flow on open 3-manifolds. Comment. Math. Helv. 90 (2015), no. 2, pp. 377–405

DOI 10.4171/CMH/357