Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups
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This paper gives a new proof of a result of Geoff Mess that the linear holonomy group of a complete flat Lorentz 3-manifold cannot be cocompact in SO(2,1). The proof uses a signed marked Lorentzian length-spectrum invariant developed by G.Margulis, reinterpreted in terms of deformations of hyperbolic surfaces.
to appear in "Crystallographic Groups and their Generalizations II," Contemporary Mathematics
to appear in "Crystallographic Groups and their Generalizations II," Contemporary Mathematics