Large-scale conformal rigidity in dimension three

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dc.creatorMaillot, Sylvain
dc.date2002-10-28
dc.date.accessioned2026-07-07T04:52:25Z
dc.date.available2026-07-07T04:52:25Z
dc.descriptionWe define a complete Riemannian manifold X to be large-scale conformally rigid if all groups that are quasi-isometric to some complete Riemannian manifold of bounded geometry conformal to X are quasi-isometric to X. We prove that many 3-manifolds, including Euclidean 3-space, hyperbolic 3-space and the product of the hyperbolic plane with the real line are large-scale conformally rigid. This implies new characterizations of groups that can act properly, cocompactly by isometries on those manifolds.
dc.description22 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0210433
dc.identifierhttp://arxiv.org/abs/math/0210433
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65459
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject53A30 (Primary) 20F65; 20F69; 57M50 (Secondary)
dc.titleLarge-scale conformal rigidity in dimension three
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