The visual sphere of Teichmüller space and a theorem of Masur-Wolf.
McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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McCarthy, John D., Papadopoulos, Athanase (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Parkkonen, Jouni (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Cyril Lecuire (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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The bending map of a hyperbolic -manifold maps a convex cocompact hyperbolic metric on a -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.
Minsky, Yair N. (2000)
Geometry & Topology
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Francis Bonahon (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Inna Mashanova, Vladlen Timorin (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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In parameter slices of quadratic rational functions, we identify arcs represented by matings of quadratic polynomials. These arcs are on the boundaries of hyperbolic components.
Rafi, Kasra (2005)
Geometry & Topology
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José L. Fernández (1989)
Extracta Mathematicae
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