Weak collapsing and geometrisation of aspherical 3-manifolds

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dc.creatorBessières, Laurent
dc.creatorBesson, Gérard
dc.creatorBoileau, Michel
dc.creatorMaillot, Sylvain
dc.creatorPorti, Joan
dc.date2007-06-14
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:56:20Z
dc.date.available2026-07-07T08:56:20Z
dc.descriptionLet M be a closed, orientable, irreducible, non-simply connected 3-manifold. We prove that if M admits a sequence of Riemannian metrics whose sectional curvature is locally controlled and whose thick part becomes asymptotically hyperbolic and has a sufficiently small volume, then M is Seifert fibred or contains an incompressible torus. This result gives an alternative approach for the last step in Perelman's proof of the Geometrisation Conjecture for aspherical 3-manifolds.
dc.descriptionImproved version in English
dc.identifierhttps://arxiv.org/abs/0706.2065
dc.identifierhttp://arxiv.org/abs/0706.2065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146575
dc.subjectGeometric Topology
dc.subject57M50
dc.titleWeak collapsing and geometrisation of aspherical 3-manifolds
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