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• W1561800976 abstract "We classify three-dimensional Lorentz homogeneous spaces G/I having a compact manifold locally modeled on them. We prove a completeness result: any compact locally homogeneous Lorentz threefold M is isometric to a quotient of a Lorentz homogeneous space G/I by a discrete subgroup Γ of G acting properly and freely on G/I. Moreover, if I is noncompact, G/I is isometric to a Lie group L endowed with a left invariant Lorentz metric, where L is isomorphic to one of the following Lie groups: $${bf R}^3, widetilde{SL(2, {bf R})}, He,is ,{rm or}, SOL.$$ If L is not $${widetilde{SL(2, {bf R})}}$$ , then M admits a finite cover which is a quotient of L by a lattice." @default.
• W1561800976 created "2016-06-24" @default.
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• W1561800976 date "2010-03-05" @default.
• W1561800976 modified "2023-10-05" @default.
• W1561800976 title "Géométries Lorentziennes de dimension 3 : classification et complétude" @default.
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• W1561800976 doi "https://doi.org/10.1007/s10711-010-9480-0" @default.
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