Simple Closed Geodesics in Hyperbolic 3-Manifolds

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dc.creatorAdams, Colin
dc.creatorHass, Joel
dc.creatorScott, Peter
dc.date1998-01-14
dc.date.accessioned2026-07-07T05:23:35Z
dc.date.available2026-07-07T05:23:35Z
dc.descriptionThis paper determines which orientable hyperbolic 3-manifolds contain simple closed geodesics. The Fuchsian group corresponding to the thrice-punctured sphere generates the only example of a complete non-elementary orientable hyperbolic 3-manifold that does not contain a simple closed geodesic. We do not assume that the manifold is geometrically finite or that it has finitely generated fundamental group.
dc.description7 pages, to appear in the Bulletin of the London Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/9801071
dc.identifierhttp://arxiv.org/abs/math/9801071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76497
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53C22
dc.titleSimple Closed Geodesics in Hyperbolic 3-Manifolds
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