AFFINE CURVATURE HOMOGENEOUS 3-DIMENSIONAL LORENTZ MANIFOLDS

DOI10.1142/S0219887805000776zbMath1091.53012arXivmath/0504163OpenAlexW2081171633WikidataQ125748417 ScholiaQ125748417MaRDI QIDQ5709207

Peter B. Gilkey, Stana Ž. Nikčević

Publication date: 29 November 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504163

zbMATH Keywords

geodesic completenessWalker metric0-curvature homogeneous1-affine curvature homogeneous1-curvature homogeneous3-dimensional Lorentz manifoldgeodesic Ricci curvature blowupVSI manifold

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Linear and affine connections (53B05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS ⋮ Homogeneity of Lorentzian three-manifolds with recurrent curvature ⋮ A new family of curvature homogeneous pseudo-Riemannian manifolds ⋮ CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS

Cites Work

• Unnamed Item
• Lorentz manifolds modelled on a Lorentz symmetric space
• Affine versions of Singer's theorem on locally homogeneous spaces
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Examples of curvature homogeneous Lorentz metrics
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• All spacetimes with vanishing curvature invariants
• A metric with no symmetries or invariants
• On curvature homogeneous and locally homogeneous affine connections
• Infinitesimally homogeneous spaces

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