Displaying similar documents to “The topology of large H -surfaces bounded by a convex curve”

Constant curvature ( 2 + 1 ) -spacetimes and projective structures

Francesco Bonsante (2004-2005)

Séminaire de théorie spectrale et géométrie

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Nous illustrons une classification des espace-temps (2+1) globalement hyperboliques a courboure constant, en terms de certaines structures projectives complexes portées par les surfaces de niveau de leur temps . Ceci derive d’une theorie des , developpée en collaboration avec Riccardo Benedetti [], qui sera egalement brievement illustrée.

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.