Homogeneous semisymmetric neutral 4-manifolds

DOI10.1007/S10711-024-00898-ZOpenAlexW4392515666MaRDI QIDQ6124597

Abderrazzak Benroummane

Publication date: 28 March 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-024-00898-z

zbMATH Keywords

Einstein manifoldslocally symmetric spacessemi-symmetric spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Four-dimensional homogeneous Lorentzian manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Four-dimensional homogeneous semi-symmetric Lorentzian manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• Semi-symmetric four dimensional neutral Lie groups
• Einstein-Maxwell equation on four-dimensional homogeneous spaces

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