Homogeneous Lorentzian manifolds of a semisimple group

DOI10.1016/j.geomphys.2011.04.014zbMath1239.53088arXiv1101.3093OpenAlexW1988482184MaRDI QIDQ764520

Dimitrii V. Alekseevsky

Publication date: 13 March 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3093

zbMATH Keywords

semisimple Lie groupsLorentz metricsproper actionshomogeneous Lorentzian manifoldsminimal admissible manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

Homogeneous M2 duals ⋮ Reductive homogeneous Lorentzian manifolds ⋮ The Alekseevskii conjecture in 9 and 10 dimensions ⋮ The Alekseevskii conjecture in low dimensions ⋮ Cohomogeneity one anti de Sitter space \(\mathrm{AdS}^{n+1}\)

Cites Work

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• Noncompact simple automorphism groups of Lorentz manifolds and other geometric manifolds
• Actions of noncompact semisimple groups on Lorentz manifolds
• Isometry groups of Lorentz manifolds
• Orbit nonproper dynamics on Lorentz manifolds
• The isometry group of a compact Lorentz manifold. I
• The isometry group of a compact Lorentz manifold. II
• Transitive actions on Lorentz manifolds with noncompact stabilizer
• Invariant CR structures on compact homogeneous manifolds
• Locally free actions on Lorentz manifolds
• Dynamics of simple Lie groups on Lorentz manifolds
• Isometric actions of \(SL_n(\mathbb{R}) \ltimes \mathbb{R}^n\) on Lorentz manifolds
• Orbit nonproper actions on Lorentz manifolds
• Homogeneous Lorentz manifolds with simple isometry group
• Induction of geometric actions

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