Displaying similar documents to “Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form”

Continuity of the bending map

Cyril Lecuire (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

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.

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

Francesco Bonsante (2004-2005)

Séminaire de théorie spectrale et géométrie

Similarity:

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.