Displaying similar documents to “Nonpositively curved 2-complexes with isolated flats.”

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.

Flats in Spaces with Convex Geodesic Bicombings

Dominic Descombes, Urs Lang (2016)

Analysis and Geometry in Metric Spaces

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In spaces of nonpositive curvature the existence of isometrically embedded flat (hyper)planes is often granted by apparently weaker conditions on large scales.We show that some such results remain valid for metric spaces with non-unique geodesic segments under suitable convexity assumptions on the distance function along distinguished geodesics. The discussion includes, among other things, the Flat Torus Theorem and Gromov’s hyperbolicity criterion referring to embedded planes. This...