Lengths are coordinates for convex structures

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dc.creatorChoi, Young-Eun
dc.creatorSeries, Caroline
dc.date2004-06-13
dc.date2005-02-13
dc.date.accessioned2026-07-07T05:09:12Z
dc.date.available2026-07-07T05:09:12Z
dc.descriptionSuppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N,C) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent along a set C of simple closed curves. We prove that the map which associates to each structure in P(N,C) the lengths of the curves in the bending locus C is one-to-one. If C is maximal, the traces of the curves in C are local parameters for the representation space R(N).
dc.description46 pages, 3 figures; v2: corrections and improved exposition
dc.identifierhttps://arxiv.org/abs/math/0406257
dc.identifierhttp://arxiv.org/abs/math/0406257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71545
dc.subjectGeometric Topology
dc.subject30F40
dc.titleLengths are coordinates for convex structures
dc.typetext

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