The isometry group of a compact Lorentz manifold. I

DOI10.1007/s002220050163zbMath0897.53046OpenAlexW1965603948MaRDI QIDQ1365479

Garrett Stuck, Scot Adams

Publication date: 20 October 1998

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

Full work available at URL: https://doi.org/10.1007/s002220050163

zbMATH Keywords

connected Lie groupsisometric actionscompact Lorentz manifolds

Mathematics Subject Classification ID

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

Related Items (24)

Isometry group of Lorentz manifolds: a coarse perspective ⋮ Canonical complex structures associated to connections and complexifications of Lie groups ⋮ Isometric actions of Heisenberg groups on compact Lorentz manifolds ⋮ Isometric splitting for actions of simple Lie groups on pseudo-Riemannian manifolds ⋮ Actions of discrete groups on stationary Lorentz manifolds ⋮ Cohomogeneity one actions on anti de Sitter spacetimes ⋮ Cohomogeneity one actions on Minkowski spaces ⋮ Conformal actions on the Einstein universe ⋮ Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field ⋮ Lorentzian compact manifolds: isometries and geodesics ⋮ Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3 ⋮ The identity component of the isometry group of a compact Lorentz manifold ⋮ Isometries of Lorentz surfaces and convergence groups ⋮ The conformal group of a compact simply connected Lorentzian manifold ⋮ The local geometry of compact homogeneous Lorentz spaces ⋮ Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds ⋮ Prolongations of isometric actions to vector bundles ⋮ Homogeneous Lorentzian manifolds of a semisimple group ⋮ An embedding theorem for automorphism groups of Cartan geometries ⋮ Isometry groups of closed Lorentz 4-manifolds are Jordan ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ Conformal actions of 𝔰𝔩_{𝔫}(ℝ) and 𝕊𝕃_{𝕟}(ℝ)⋉ℝⁿ on Lorentz manifolds ⋮ On Lorentz dynamics: From group actions to warped products via homogeneous spaces ⋮ Polar Actions on Symmetric Spaces

This page was built for publication: The isometry group of a compact Lorentz manifold. I