Counting closed geodesics on rank one manifolds

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dc.creatorGunesch, Roland
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:11:07Z
dc.date.available2026-07-07T08:11:07Z
dc.descriptionWe establish a precise asymptotic formula for the number of homotopy classes of periodic orbits for the geodesic flow on rank one manifolds of nonpositive curvature. This extends a celebrated result of G. A. Margulis to the nonuniformly hyperbolic case and strengthens previous results by G. Knieper. We also establish some useful properties of the measure of maximal entropy.
dc.description36 pages, 2 figures. See also http://www.math.uni-hamburg.de/home/gunesch/
dc.identifierhttps://arxiv.org/abs/0706.2845
dc.identifierhttp://arxiv.org/abs/0706.2845
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132025
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject37 (primary), 53 (secondary)
dc.titleCounting closed geodesics on rank one manifolds
dc.typetext

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