Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 26, pages 551-576.

Sur les espaces-temps homogenes

Abdelghani Zeghib

Abstract. Here, we classify Lie groups acting isometrically on compact Lorentz manifolds, and in particular we describe the geometric structure of compact homogeneous Lorentz manifolds.

Keywords. Lorentz manifold, twisted Heisenberg group, condition (*)

AMS subject classification. Primary: 57B30. Secondary: 57S20.

E-print: arXiv:math.DG/9810202

Submitted: 15 November 1997. Published: 29 October 1998.

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Abdelghani Zeghib
Ecole Normale Superieure de Lyon
UMPA, UMR 128 CNRS
46 Allee d'Italie, 69364 Lyon, FRANCE
Email: zeghib@umpa.ens-lyon.fr

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