LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS

DOI10.1142/S0219887808002941zbMath1141.53319OpenAlexW2122690805MaRDI QIDQ3519813

Ramón Vázquez-Lorenzo, Eduardo García-Río, Ali Haji-Badali, M. Elena Vázquez-Abal

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219887808002941

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (10)

Curvature operators and generalizations of symmetric spaces in Lorentzian geometry ⋮ Commutative curvature operators over four-dimensional homogeneous manifolds ⋮ Three-dimensional homogeneous Lorentzian Yamabe solitons ⋮ GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS ⋮ Unnamed Item ⋮ Curvature models of conformally flat Walker (2,2)-manifolds ⋮ Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one ⋮ UNIVERSAL CURVATURE IDENTITIES III ⋮ PSEUDO-SYMMETRIC LORENTZIAN THREE-MANIFOLDS ⋮ CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS

Cites Work

• Homogeneous structures on three-dimensional Lorentzian manifolds
• Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues
• Pseudo-Riemannian manifolds with commuting Jacobi operators
• The global geometry of Riemannian manifolds with commuting curvature operators
• Lorentz metrics on unimodular Lie groups of dimension three
• On curvature homogeneous three-dimensional Lorentzian manifolds
• Conformally flat semi-Riemannian manifolds with commuting curvature and Ricci operators
• On conformally flat spaces satisfying a certain condition on the Ricci tensor
• PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS
• Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Examples of signature (2, 2) manifolds with commuting curvature operators
• Lorentzian three-manifolds with special curvature operators
• On Conformally Flat Spaces with Commuting Curvature and Ricci Transformations
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES

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