Les groupes oscillateurs et leurs reseaux |
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Authors: | Alberto Medina Philippe Revoy |
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Institution: | (1) Université Montpellier II, Place E. Bataillon, 34060 Montpellier Cedex, France |
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Abstract: | In this paper we study the geometry of oscillator groups: they are the only non commutative simply connected solvable Lie groups which have a biinvariant Lorentzian metric. We first study curvature and geodesics, and then give a full analysis of lattices - i.e. discrete co-compact subgroups - getting examples of compact Lorentzian homogeneous varieties. |
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