PSEUDO-SYMMETRIC LORENTZIAN THREE-MANIFOLDS

DOI10.1142/S0219887809004132zbMath1192.53064WikidataQ125262214 ScholiaQ125262214MaRDI QIDQ5851054

Barbara De Leo, Giovanni Calvaruso

Publication date: 21 January 2010

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

zbMATH Keywords

Lorentzian manifoldsSegre typespseudo-symmetric and semi-symmetric spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

UNIVERSAL CURVATURE IDENTITIES III

Cites Work

• Homogeneous structures on three-dimensional Lorentzian manifolds
• Three-dimensional semi-symmetric homogeneous Lorentzian manifolds
• Three-dimensional space-times
• Curvatures of left invariant metrics on Lie groups
• On curvature homogeneous three-dimensional Lorentzian manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS
• Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3

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