Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.
Ines Kath, Universitat Greifswald, Germany.Martin Olbrich, Universite du Luxembourg.
IntroductionCahen-Wallach spacesDiscrete subgroups of the isometry groupProper and cocompact actions on Cahen-Wallach spacesThe real caseGood subspaces and the imaginary caseThe general caseProperties of compact quotients and their fundamental groupsBibliography.