Length functions and parameterizations of Teichmüller space for surfaces with cusps.
Hämenstadt, Ursula (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hämenstadt, Ursula (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Sheingorn, Mark (2001)
The New York Journal of Mathematics [electronic only]
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McShane, Greg (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Parlier, Hugo (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Doyle, Peter G., Rossetti, Juan Pablo (2004)
Geometry & Topology
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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.
Doyle, Peter G., Rossetti, Juan Pablo (2008)
The New York Journal of Mathematics [electronic only]
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Hugo Parlier (2005)
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Maciej Wojtkowski (1982)
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Marcos Salvai (2000)
Rendiconti del Seminario Matematico della Università di Padova
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