Globally hyperbolic flat space--times

DOI10.1016/j.geomphys.2004.05.002zbMath1087.53065arXivmath/0402257OpenAlexW2060436732MaRDI QIDQ556138

Thierry Barbot

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402257

zbMATH Keywords

Minkowski spacefoliationsglobally hyperbolic space-timeconvex cocompact Kleinian groups

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

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• Flat spacetimes with compact hyperbolic Cauchy surfaces
• Generalizations of Bieberbach's first theorem on crystallographic groups
• H-surfaces in Lorentzian manifolds
• Quasiconformal homeomorphisms and dynamics. II: Structural stability implies hyperbolicity for Kleinian groups
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Flat conformal structures and the classification of de Sitter manifolds
• Constant mean curvature foliations of flat space-times
• Closed time-like curves in flat Lorentz space--times
• About affine Anosov diffeomorphisms with differentiable stable and instable foliations
• Global aspects of the Cauchy problem in general relativity
• 3-manifolds which are spacelike slices of flat spacetimes
• Cut points, conjugate points and Lorentzian comparison theorems
• Examples of Poincare Duality Groups
• The Large Scale Structure of Space-Time
• Cosmological time in (2+1)-gravity