Commutative curvature operators over four-dimensional homogeneous manifolds

DOI10.1142/S0219887815501236zbMath1332.53089MaRDI QIDQ3455932

Ali Haji-Badali, Amirhesam Zaeim

Publication date: 11 December 2015

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

zbMATH Keywords

homogeneous spacecurvature operatorssemi-symmetric spaceRicci and skew-symmetric curvature operators

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (2)

Geometric consequences of four dimensional neutral Lie groups ⋮ Recurrent curvature over four-dimensional homogeneous manifolds

Cites Work

• Four-dimensional Lorentzian Lie groups
• Four-dimensional homogeneous Lorentzian manifolds
• Manifolds with commuting Jacobi operators
• Pseudo-Riemannian manifolds with commuting Jacobi operators
• The global geometry of Riemannian manifolds with commuting curvature operators
• Conformally flat semi-Riemannian manifolds with commuting curvature and Ricci operators
• Locally homogeneous four-dimensional manifolds of signature \((2,2)\)
• On conformally flat spaces satisfying a certain condition on the Ricci tensor
• A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric
• PSEUDO-RIEMANNIAN JACOBI–VIDEV MANIFOLDS
• LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS
• Four-dimensional pseudo-Riemannian homogeneous Ricci solitons
• Examples of signature (2, 2) manifolds with commuting curvature operators
• On Conformally Flat Spaces with Commuting Curvature and Ricci Transformations

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