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Sur les espaces-temps homogénes

Abdelghani Zeghib

Geometry & Topology Monographs 1 (1998) 551–576

DOI: 10.2140/gtm.1998.1.551

arXiv: math.DG/9810202

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 (∗)

Mathematical Subject Classification

Primary: 57B30

Secondary: 57S20

References
Publication

Received: 15 November 1997
Published: 29 October 1998

Authors
Abdelghani Zeghib
Ecole Normale Superieure de Lyon
UMPA, UMR 128 CNRS
46 Allee d'Italie
69364 Lyon
France