Geodesic laminations with transverse Hölder distributions

Francis Bonahon

Displaying similar documents to “Geodesic laminations with transverse Hölder distributions”

The metric space of geodesic laminations on a surface. I.

Zhu, Xiaodong, Bonahon, Francis (2004)

Geometry & Topology

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Continuity of the bending map

Cyril Lecuire (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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The bending map of a hyperbolic $3$ -manifold maps a convex cocompact hyperbolic metric on a $3$ -manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.