Four-dimensional homogeneous semi-symmetric Lorentzian manifolds

DOI10.1016/J.DIFGEO.2017.08.009zbMath1381.53130arXiv1603.02449OpenAlexW2963239843WikidataQ115355291 ScholiaQ115355291MaRDI QIDQ1694881

Mohamed Boucetta, Abderrazzak Benroummane, Aziz Ikemakhen

Publication date: 6 February 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02449

zbMATH Keywords

homogeneous Lorentzian manifoldssemi-symmetric Lorentzian manifolds

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25) Almost contact and almost symplectic manifolds (53D15)

Related Items (3)

Homogeneous semisymmetric neutral 4-manifolds ⋮ Homogeneous Lorentzian structures of 4-dimensional nilpotent Lie groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Four-dimensional Lorentzian Lie groups
• Four-dimensional homogeneous Lorentzian manifolds
• Two-symmetric Lorentzian manifolds
• Semi-symmetric Lorentzian three-manifolds admitting a parallel degenerate line field
• Three-dimensional semi-symmetric homogeneous Lorentzian manifolds
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• 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 \(\nabla R=0\).
• Einstein-Maxwell equation on four-dimensional homogeneous spaces

This page was built for publication: Four-dimensional homogeneous semi-symmetric Lorentzian manifolds