Classification of compact Lorentzian 2-orbifolds with noncompact full isometry groups

DOI10.1134/S0037446612060080zbMath1263.53068OpenAlexW2092147467MaRDI QIDQ1935739

N. I. Zhukova, E. A. Rogozhina

Publication date: 19 February 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612060080

zbMATH Keywords

isometry groupLorentzian surfaceAnosov automorphism of the torusLorentzian orbifold

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Noncompact Lie groups of transformations (57S20) Topology and geometry of orbifolds (57R18)

Related Items (4)

The groups of basic automorphisms of complete Cartan foliations ⋮ Pseudo-Riemannian foliations and their graphs ⋮ Chaotic behaviour of countable products of homeomorphism groups ⋮ Influence of stratification on the groups of conformal transformations of pseudo-Riemannian orbifolds

Cites Work

• Actions of noncompact semisimple groups on Lorentz manifolds
• Dynamical properties of the space of Lorentzian metrics
• Isometry groups and geodesic foliations of Lorentz manifolds. I: Foundations of Lorentz dynamics
• Isometry groups and geodesic foliations of Lorentz manifolds. II: Geometry of analytic Lorentz manifolds with large isometry groups
• Structure of Lorentzian tori with a killing vector field
• Lorentzian manifolds admitting a killing vector field
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