The identity component of the isometry group of a compact Lorentz manifold

DOI10.1215/S0012-7094-98-09208-0zbMath0976.53077OpenAlexW1526979249MaRDI QIDQ1974802

Abdelghani Zeghib

Publication date: 27 March 2000

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09208-0

zbMATH Keywords

affine groupcompact Lorentz manifold

Mathematics Subject Classification ID

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

Related Items (11)

Isometry group of Lorentz manifolds: a coarse perspective ⋮ Isometric actions of Heisenberg groups on compact Lorentz manifolds ⋮ Conformal actions on the Einstein universe ⋮ Lorentzian compact manifolds: isometries and geodesics ⋮ The conformal group of a compact simply connected Lorentzian manifold ⋮ On the affine group of a normal homogeneous manifold ⋮ Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds ⋮ Spectra of compact quotients of the oscillator group ⋮ Isometry groups of closed Lorentz 4-manifolds are Jordan ⋮ Conformal actions of 𝔰𝔩_{𝔫}(ℝ) and 𝕊𝕃_{𝕟}(ℝ)⋉ℝⁿ on Lorentz manifolds ⋮ Poincaré profiles of Lie groups and a coarse geometric dichotomy

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