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arxiv: 1506.05663 · v1 · pith:M45NOVXGnew · submitted 2015-06-18 · 🧮 math.GT

On Lorentz spacetimes of constant curvature

classification 🧮 math.GT
keywords mathbbmathfrakconstantcurvaturedescribediscretegeometrygroups
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We describe in parallel the Lorentzian homogeneous spaces $G=\mathrm{PSL}(2,\mathbb{R})$ and $\mathfrak{g}=\mathfrak{psl}(2,\mathbb{R})$, and review some recent results relating the geometry of their quotients by discrete groups.

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