Laminations mesur\'ees de plissage des vari\'et\'es hyperboliques de dimension 3 c < 1

• Autores: Jean Pierre Otal, Francis Bonahon
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 160, Nº 3, 2004, págs. 1013-1055
• Idioma: inglés
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• Resumen

  • For a hyperbolic metric on a 3-dimensional manifold, the boundary of its convex core is a surface which is almost everywhere totally geodesic, but which is bent along a family of disjoint geodesics. The locus and intensity of this bending is described by a measured geodesic lamination, which is a topological object. We consider two problems: the topological characterization of those measured geodesic laminations which can occur as bending measured laminations of hyperbolic metrics; and the uniqueness problem which asks whether a hyperbolic metric is uniquely determined by its bending measured lamination.