Collars and partitions of hyperbolic cone-surfaces

dc.creatorDryden, Emily B.
dc.creatorParlier, Hugo
dc.date2004-05-07
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:25:04Z
dc.date.available2026-07-07T08:25:04Z
dc.descriptionFor compact Riemann surfaces, the collar theorem and Bers' partition theorem are major tools for working with simple closed geodesics. The main goal of this paper is to prove similar theorems for hyperbolic cone-surfaces. Hyperbolic two-dimensional orbifolds are a particular case of such surfaces. We consider all cone angles to be strictly less than $π$ to be able to consider partitions.
dc.description11 pages, 9 figures; v2: minor changes, to appear in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/math/0405129
dc.identifierhttp://arxiv.org/abs/math/0405129
dc.identifierdoi:10.1007/s10711-007-9172-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136549
dc.subjectDifferential Geometry
dc.subject53C22 (Primary); 53A35, 32G15 (Secondary)
dc.titleCollars and partitions of hyperbolic cone-surfaces
dc.typetext

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