Simple Closed Geodesics in Hyperbolic 3-Manifolds

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This 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.
7 pages, to appear in the Bulletin of the London Mathematical Society

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Geometric Topology, Differential Geometry, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/76497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801071
 http://arxiv.org/abs/math/9801071

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arXiv