Displaying similar documents to “Matrices for Fenchel-Nielsen coordinates.”

Quasi-Isometries Need Not Induce Homeomorphisms of Contracting Boundaries with the Gromov Product Topology

Christopher H. Cashen (2016)

Analysis and Geometry in Metric Spaces

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We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the boundary of a hyperbolic space. We show that when the space is not hyperbolic, quasi-isometries do not necessarily give homeomorphisms of this boundary. Continuity can fail even when the spaces are required to be CAT(0). We show this by...

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.