Fundamental domains for free groups acting on anti-de Sitter 3-space

DOI10.4310/MRL.2016.v23.n3.a10zbMath1355.83005arXiv1410.5804MaRDI QIDQ727691

Jeffrey Danciger, Fanny Kassel, Francçois Guéritaud

Publication date: 20 December 2016

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5804

zbMATH Keywords

free groupproperly discontinuous actionMinkowski 3-spacefundamental domainsanti-de Sitter 3-spacecrooked planesDrummpiecewise linear surfaces

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Applications of differential geometry to physics (53Z05) Special relativity (83A05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on low-dimensional manifolds (57M50) Analogues of general relativity in lower dimensions (83C80) Discontinuous groups of transformations (57S30) Group actions on manifolds and cell complexes in low dimensions (57M60) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (9)

Schottky presentations of positive representations ⋮ Margulis spacetimes via the arc complex ⋮ Tameness of Margulis space-times with parabolics ⋮ Almost strict domination and anti‐de Sitter 3‐manifolds ⋮ Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds ⋮ Einstein tori and crooked surfaces ⋮ Anti-de Sitter Geometry and Teichmüller Theory ⋮ Affine actions with Hitchin linear part ⋮ Crooked surfaces and anti-de Sitter geometry

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