Hidden symmetry and arithmetic manifolds

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dc.creatorFarb, Benson
dc.creatorWeinberger, Shmuel
dc.date2004-05-10
dc.date.accessioned2026-07-07T05:08:04Z
dc.date.available2026-07-07T05:08:04Z
dc.descriptionA "hidden symmetry" of a Riemannian manifold M is an isometry of a d-sheeted, 1<d<\infty, Riemannian cover of M which is not the lift of any isometry. In this paper we characterize the locally symmetric metric(s) on a closed, arithmetic manifold as the unique metric with infinitely many hidden symmetries.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0405160
dc.identifierhttp://arxiv.org/abs/math/0405160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71113
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleHidden symmetry and arithmetic manifolds
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