The affine deformation space of a rank two Schottky group: a picture gallery

DOI10.1007/s10711-007-9125-0zbMath1126.57009OpenAlexW2070762535MaRDI QIDQ881919

Virginie Charette

Publication date: 18 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10711-007-9125-0

zbMATH Keywords

proper actionaffine deformationSchottky groupMargulis invariantflat Lorentz manifold

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on low-dimensional manifolds (57M50)

Related Items (3)

Affine twist deformation of a sphere with holes ⋮ Proper affine deformations of the one-holed torus ⋮ Affine deformations of a three-holed sphere

Cites Work

• Proper affine actions and geodesic flows of hyperbolic surfaces
• Affine deformations of a three-holed sphere
• Three-dimensional affine crystallographic groups
• Complete affine locally flat manifolds with free fundamental group
• Fundamental polyhedra for Margulis space-times
• The geometry of crooked planes
• Examples of nonproper affine actions
• Lorentz spacetimes of constant curvature
• Non-proper affine actions of the holonomy group of a punctured torus
• COMPLETE FLAT LORENTZ 3-MANIFOLDS WITH FREE FUNDAMENTAL GROUP
• The Margulis invariant for parabolic transformations
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