A short proof of non-Gromov hyperbolicity of Teichmüller spaces.
Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Robertson, Guyan (1998)
Journal of Lie Theory
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Robertson, Guyan (1998)
Journal of Lie Theory
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Mahan Mj (2009-2010)
Séminaire de théorie spectrale et géométrie
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The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
Mosher, Lee (2003)
Geometry & Topology
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Mohammed Guediri (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Francis Bonahon (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.