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- W2964128579 abstract "We study proper, isometric actions of nonsolvable discrete groups Γ on the 3-dimensional Minkowski space R as limits of actions on the 3-dimensional anti-de Sitter space AdS. To each such action is associated a deformation of a hyperbolic surface group Γ0 inside O(2, 1). When Γ0 is convex cocompact, we prove that Γ acts properly on R if and only if this group-level deformation is realized by a deformation of the quotient surface that everywhere contracts distances at a uniform rate. We give two applications in this case. (1) Tameness: A complete flat spacetime is homeomorphic to the interior of a compact manifold. (2) Geometric transition: A complete flat spacetime is the rescaled limit of collapsing AdS spacetimes." @default.
- W2964128579 created "2019-07-30" @default.
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- W2964128579 date "2016-01-01" @default.
- W2964128579 modified "2023-09-26" @default.
- W2964128579 title "Geometry and topology of complete Lorentz spacetimes of constant curvature" @default.
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- W2964128579 doi "https://doi.org/10.24033/asens.2275" @default.
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