Recurrent curvature over four-dimensional homogeneous manifolds

DOI10.33044/revuma.1740zbMath1478.53114OpenAlexW3174001783MaRDI QIDQ5153344

Milad Bastami, Ali Haji-Badali, Amirhesam Zaeim

Publication date: 29 September 2021

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33044/revuma.1740

zbMATH Keywords

homogeneous spacelocally symmetric spacecurvature tensor and recurrent curvature tensor

Mathematics Subject Classification ID

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

Related Items (1)

On Lie groups with recurrent curvature in dimension four

Cites Work

• Einstein-like pseudo-Riemannian homogeneous manifolds of dimension four
• Four-dimensional homogeneous Lorentzian manifolds
• Ricci almost solitons on three-dimensional manifolds with recurrent curvature
• Symmetries of Lorentzian three-manifolds with recurrent curvature
• Four-dimensional pseudo-Riemannian g.o. spaces and manifolds
• Complete \(k\)-curvature homogeneous pseudo-Riemannian manifolds
• Commutative curvature operators over four-dimensional homogeneous manifolds
• Curvature properties of four-dimensional Walker metrics
• Homogeneity of Lorentzian three-manifolds with recurrent curvature
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• CANONICAL FORMS (II): PARALLEL PARTIALLY NULL PLANES
• Three-Dimensional Spaces of Recurrent Curvature
• On Ruse's Spaces of Recurrent Curvature
• Einstein-Maxwell equation on four-dimensional homogeneous spaces

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