One component of the curvature tensor of a Lorentzian manifold

DOI10.1016/j.geomphys.2010.03.002zbMath1203.53043arXiv1001.4441OpenAlexW2091149855WikidataQ125338010 ScholiaQ125338010MaRDI QIDQ974407

Anton S. Galaev

Publication date: 2 June 2010

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

Full work available at URL: https://arxiv.org/abs/1001.4441

zbMATH Keywords

curvature tensorEinstein manifoldsLorentzian manifoldsholonomy algebra

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4 ⋮ About the classification of the holonomy algebras of Lorentzian manifolds ⋮ Irreducible holonomy algebras of Riemannian supermanifolds ⋮ Two-symmetric Lorentzian manifolds ⋮ Conformally flat Lorentzian manifolds with special holonomy groups ⋮ Covariant derivative of the curvature tensor of pseudo-Kählerian manifolds ⋮ How to find the holonomy algebra of a Lorentzian manifold ⋮ On holonomy of Weyl connections in Lorentzian signature

Uses Software

• LiE

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