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arxiv: 1501.01474 · v1 · pith:5EGV64P4new · submitted 2015-01-07 · 🧮 math.DG

Compact quotients of Cahen-Wallach spaces

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keywords cahen-wallachspacescompactparametersquotientscalledclassesconditions
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Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. We derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

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