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Article Dans Une Revue Annales de la Faculté des Sciences de Toulouse. Mathématiques. Année : 2008

Continuity of the bending map

Cyril Lecuire

Résumé

The bending map of a hyperbolic 3-manifold maps a convex cocompact hyperbolic metric on a hyperbolic 3-manifold with boundary to its bending measured geodesic lamination. 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 shows that the quotient map obtained from the bending map is continuous.

Dates et versions

hal-00952739 , version 1 (27-02-2014)

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Citer

Cyril Lecuire. Continuity of the bending map. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2008, 17 (1), pp.93-119. ⟨hal-00952739⟩
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