Curvature homogeneous Lorentzian three-manifolds

DOI10.1007/s10455-008-9144-6zbMath1178.53069OpenAlexW2086265441WikidataQ125967598 ScholiaQ125967598MaRDI QIDQ833320

Giovanni Calvaruso

Publication date: 12 August 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9144-6

zbMATH Keywords

Lorentzian manifoldsRicci operatorcurvature homogeneitySegre types

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Curvature homogeneous critical metrics in dimension three ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Locally homogeneous four-dimensional manifolds of signature \((2,2)\)

Cites Work

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• Homogeneous structures on three-dimensional Lorentzian manifolds
• Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues
• Three-dimensional semi-symmetric homogeneous Lorentzian manifolds
• On Riemannian 3-manifolds with distinct constant Ricci eigenvalues
• On curvature homogeneous three-dimensional Lorentzian manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Examples of curvature homogeneous Lorentz metrics
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Infinitesimally homogeneous spaces

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