Fundamental domains in Lorentzian geometry

DOI10.1007/s10711-006-9117-5zbMath1130.53051arXivmath/0308279OpenAlexW2105173226MaRDI QIDQ2385551

Anna Pratoussevitch

Publication date: 12 October 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308279

zbMATH Keywords

quasi-homogeneous singularityLorentz space formpolyhedral fundamental domainArnold singularity series

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Singularities of surfaces or higher-dimensional varieties (14J17) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Discontinuous groups of transformations (57S30)

Related Items (2)

The combinatorial geometry of \(\mathbb Q\)-Gorenstein quasi-homogeneous surface singularities ⋮ Two series of polyhedral fundamental domains for Lorentz bi-quotients

Cites Work

• 3-dimensional Lorentz space-forms and Seifert fiber spaces
• Nonstandard Lorentz space forms
• Brieskorn complete intersections and automorphic forms
• Polyhedral fundamental domains for discrete subgroups of \(\text{PSL}(2,{\mathbb{R}})\)
• The geometry of crooked planes
• Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
• Lorentzian Kleinian groups
• Flots d'Anosov dont les feuilletages stables sont différentiables
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