Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds

DOI10.1007/BF02802498zbMath0980.53089MaRDI QIDQ5937671

Garrett Stuck, Scot Adams

Publication date: 26 February 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie groupisometryLorentz manifoldgroup action

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Cohomogeneity one actions on Minkowski spaces ⋮ Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds ⋮ Homogeneous Lorentzian manifolds of a semisimple group

Cites Work

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• Noncompact simple automorphism groups of Lorentz manifolds and other geometric manifolds
• The isometry group of a compact Lorentz manifold. I
• The isometry group of a compact Lorentz manifold. II
• The identity component of the isometry group of a compact Lorentz manifold
• Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds

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