Long time behaviour of Ricci flow on open 3-manifolds
Laurent Bessières
Université Bordeaux 1, Talence, FranceGérard Besson
Université Joseph Fourier, Grenoble, Saint-Martin-D'hères, FranceSylvain Maillot
Université Montpellier II, France
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