Maximal volume representations are fuchsian

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dc.creatorFrancaviglia, S.
dc.creatorKlaff, B.
dc.date2004-11-02
dc.date.accessioned2026-07-07T08:44:19Z
dc.date.available2026-07-07T08:44:19Z
dc.descriptionWe prove a volume-rigidity theorem for fuchsian representations of fundamental groups of hyperbolic k-manifolds into Isom(H^n). Namely, we show that if M is a complete hyperbolic k-manifold with finite volume, then the volume of any representation of its fundamental group into Isom(H^n), 3 <= k <= n, is less than the volume of M, and the volume is maximal if and only if the representation is discrete, faithful and ``k-fuchsian''.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0411050
dc.identifierhttp://arxiv.org/abs/math/0411050
dc.identifierA modified version is published: Geom. Dedicata, 117:111--124, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142616
dc.subjectGeometric Topology
dc.subject57Mxx
dc.titleMaximal volume representations are fuchsian
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