Non-proper affine actions of the holonomy group of a punctured torus

DOI10.1515/FORUM.2006.008zbMath1096.53041arXivmath/0311040OpenAlexW1991968291MaRDI QIDQ3378372

Virginie Charette

Publication date: 30 March 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311040

zbMATH Keywords

Lorentz manifolddeformationaffinediscreteproperMargulis invariantSchottky groupsSchottky

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 (5)

Lengthening deformations of singular hyperbolic tori ⋮ Proper affine deformations of the one-holed torus ⋮ The affine deformation space of a rank two Schottky group: a picture gallery ⋮ Proper affine actions and geodesic flows of hyperbolic surfaces ⋮ Affine deformations of a three-holed sphere

Cites Work

• Complete affine locally flat manifolds with free fundamental group
• Fundamental polyhedra for Margulis space-times
• On fundamental groups of complete affinely flat manifolds
• Examples of nonproper affine actions
• COMPLETE FLAT LORENTZ 3-MANIFOLDS WITH FREE FUNDAMENTAL GROUP

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