Three-dimensional metrics with a spherical homogeneous model

DOI10.1063/1.532375zbMath0907.53036OpenAlexW2046656229MaRDI QIDQ4213023

Victor Patrangenaru

Publication date: 24 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532375

zbMATH Keywords

homogeneous manifoldhomogeneous modelcurvature homogeneous manifoldLorentz structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Moduli problems for differential geometric structures (58D27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

• Three-dimensional space-times
• Isometry groups of Lorentz manifolds
• Lorentz manifolds modelled on a Lorentz symmetric space
• Lorentz metrics on unimodular Lie groups of dimension three
• On Riemannian 3-manifolds with distinct constant Ricci eigenvalues
• The isometry group of a compact Lorentz manifold. I
• Locally homogeneous pseudo-Riemannian manifolds
• Isometry groups of three-dimensional Lorentzian metrics
• Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Lorentzian three-metrics with degenerate Ricci tensors
• Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Lorentzian symmetric spaces

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