Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups

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dc.creatorGoldman, William M.
dc.creatorMargulis, Gregory A.
dc.date2000-05-31
dc.date.accessioned2026-07-07T08:10:19Z
dc.date.available2026-07-07T08:10:19Z
dc.descriptionThis 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.
dc.descriptionto appear in "Crystallographic Groups and their Generalizations II," Contemporary Mathematics
dc.identifierhttps://arxiv.org/abs/math/0005292
dc.identifierhttp://arxiv.org/abs/math/0005292
dc.identifierCrystallographic groups and their generalizations (Kortrijk, 1999), 135--145, Contemp. Math., 262, Amer. Math. Soc., Providence, RI, 2000.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131789
dc.subjectDifferential Geometry
dc.titleFlat Lorentz 3-Manifolds and Cocompact Fuchsian Groups
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