Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3

DOI10.1063/1.531880zbMath0876.53042OpenAlexW4253959997MaRDI QIDQ4338360

Peter Bueken

Publication date: 25 November 1997

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

Full work available at URL: https://doi.org/10.1063/1.531880

zbMATH Keywords

classificationRicci eigenvaluesthree-dimensional Lorentzian manifolds

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (16)

Curvature homogeneous Lorentzian three-manifolds ⋮ Curvature homogeneous critical metrics in dimension three ⋮ On curvature homogeneous three-dimensional Lorentzian manifolds ⋮ Homogeneous structures on three-dimensional Lorentzian manifolds ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS ⋮ Locally homogeneous four-dimensional manifolds of signature \((2,2)\) ⋮ Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues ⋮ Three-dimensional homogeneous Lorentzian metrics with prescribed Ricci tensor ⋮ On the Einstein condition for Lorentzian 3-manifolds ⋮ Three-dimensional Ivanov–Petrova manifolds ⋮ Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one ⋮ On the Ricci operator of locally homogeneous Lorentzian 3-manifolds ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ PSEUDO-SYMMETRIC LORENTZIAN THREE-MANIFOLDS ⋮ Constant gravitational fields and redshift of light

Cites Work

• Three-dimensional space-times
• Lorentz manifolds modelled on a Lorentz symmetric space
• A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃
• Isometry groups of three-dimensional Lorentzian metrics
• Lorentzian three-metrics with degenerate Ricci tensors
• Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3

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