Isometry groups of Lorentz manifolds

DOI10.1007/BF01393747zbMath0647.53046MaRDI QIDQ1104571

Giuseppina D'Ambra

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143582

zbMATH Keywords

Lorentz manifoldisometry group

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (25)

Isometry group of Lorentz manifolds: a coarse perspective ⋮ Actions of discrete groups on stationary Lorentz manifolds ⋮ On a monodromy theorem for sheaves of local fields and applications ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Holomorphic projective connections on compact complex threefolds ⋮ The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds ⋮ Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ Rigid geometric structures, isometric actions, and algebraic quotients ⋮ Lorentzian compact manifolds: isometries and geodesics ⋮ Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3 ⋮ Groups of transformations of Riemannian manifolds ⋮ The identity component of the isometry group of a compact Lorentz manifold ⋮ Contact geometry in superconductors and new massive gravity ⋮ Periodic Trajectories of Dynamical Systems Having a One-Parameter Group of Symmetries ⋮ Lorentzian manifolds admitting a killing vector field ⋮ The conformal group of a compact simply connected Lorentzian manifold ⋮ Homogeneous Lorentzian manifolds of a semisimple group ⋮ Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds) ⋮ An embedding theorem for automorphism groups of Cartan geometries ⋮ Isometry groups of closed Lorentz 4-manifolds are Jordan ⋮ Lorentz dynamics on closed 3-manifolds ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ On isometry groups of pseudo-Riemannian compact Lie groups ⋮ Structure of Lorentzian tori with a killing vector field ⋮ Polar Actions on Symmetric Spaces

Cites Work

• On local and global existence of Killing vector-fields
• On the automorphism group of a compact Lorentz manifold and other geometric manifolds
• Conformal transformations of Riemannian manifolds
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