The identity component of the isometry group of a compact Lorentz manifold

@article{Zeghib1998TheIC,
  title={The identity component of the isometry group of a compact Lorentz manifold},
  author={Abdelghani Zeghib},
  journal={Duke Mathematical Journal},
  year={1998},
  volume={92},
  pages={321-333}
}
  • A. Zeghib
  • Published 1 April 1998
  • Mathematics
  • Duke Mathematical Journal
This result may be compared with a Theorem of E. Ghys [Ghy] (see also [Bel]), asserting a similar conclusion, but assuming that M has dimension 3, and that the action is just volume preserving and locally free. The statement there, is that the action of AG may be extended to an action of a finite cover of PSL(2,R), or to an action of the solvable 3-dimensional Lie group SOL. Here we have another motivation. We want to understand the structure of Lie groups acting isometrically on compact… 
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