Characterization of Lorentzian manifolds with a semi-symmetric linear connection

DOI10.1016/j.geomphys.2021.104269zbMath1468.53017OpenAlexW3159135337MaRDI QIDQ2032816

Yanyan Li

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2021.104269

zbMATH Keywords

symmetric spacessemi-symmetric non-metric connectionLorentzian manifoldsconcircular vector fieldconformal curvature tensor\textit{GRW} space-times

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Characterizations of Lorentzian manifolds ⋮ On pseudo \(Z\)-symmetric Lorentzian manifolds admitting a type of semi-symmetric metric connection ⋮ Generalized Ricci recurrent spacetimes and GRW spacetimes

Cites Work

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• A study of generalized quasi Einstein spacetimes with applications in general relativity
• Warped products with a semi-symmetric non-metric connection
• On almost pseudo symmetric manifolds admitting a type of semi-symmetric non-metric connection
• A semi-symmetric non-metric connection on a Riemannian manifold
• On generalized pseudo Ricci symmetric manifolds
• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Solitons and geometrical structures in a perfect fluid spacetime
• Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection
• Spacetimes with semisymmetric energy-momentum tensor
• A simple characterization of generalized Robertson-Walker spacetimes
• Perfect fluid spacetimes with harmonic generalized curvature tensor
• Characterization of perfect fluid spacetimes admitting gradient \(\eta\)-Ricci and gradient Einstein solitons
• A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
• On ricci symmetric generalized quasi einstein spacetimes
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• On a semi-symmetric non-metric connection
• Generalized Robertson–Walker spacetimes — A survey
• Some remarks on locally conformally flat static space–times
• Note on (conformally) semi-symmetric spacetimes
• Exact Solutions of Einstein's Field Equations
• Sub-Spaces of a Space with Torsion
• Weakly Ricci symmetric spacetimes
• On pseudo H-symmetric Lorentzian manifolds with applications to relativity
• On generalized Robertson--Walker spacetimes satisfying some curvaturecondition
• A note on generalized Robertson–Walker space-times
• Perfect fluid spacetimes and Yamabe solitons
• On a type of semi-symmetric non-metric connection on a Riemannian manifold

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