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arxiv: 1205.6103 · v1 · pith:SL43KJKCnew · submitted 2012-05-28 · 🧮 math.DG · gr-qc· math-ph· math.GT· math.MP

Some open questions on anti-de Sitter geometry

Thierry Barbot , Francesco Bonsante , Jeffrey Danciger , William M. Goldman , Fran\c{c}ois Gu\'eritaud , Fanny Kassel , Kirill Krasnov , Jean-Marc Schlenker
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Abdelghani Zeghib
This is my paper
classification 🧮 math.DG gr-qcmath-phmath.GTmath.MP
keywords geometryopenquestionsspacesanalogsanti-deaspectsconstant
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We present a list of open questions on various aspects of AdS geometry, that is, the geometry of Lorentz spaces of constant curvature -1. When possible we point out relations with homogeneous spaces and discrete subgroups of Lie groups, to Teichm\"uller theory, as well as analogs in hyperbolic geometry.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Minimizing the volume of globally hyperbolic anti-de Sitter 3-manifolds

    math.DG 2026-02 unverdicted novelty 7.0

    The volume of maximal globally hyperbolic Cauchy-compact anti-de Sitter 3-manifolds is at least π²|χ(M)|, attained if and only if M is Fuchsian.