Displaying similar documents to “Flats in Spaces with Convex Geodesic Bicombings”

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.

Lorentzian geometry in the large

John Beem (1997)

Banach Center Publications

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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...