About the classification of the holonomy algebras of Lorentzian manifolds

DOI10.1134/S0037446613050042zbMath1296.53102arXiv1211.5965MaRDI QIDQ392722

Anton S. Galaev

Publication date: 15 January 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5965

zbMATH Keywords

Lorentzian manifoldholonomy algebraBerger algebraTanaka prolongationweak-Berger algebra

Mathematics Subject Classification ID

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

Cites Work

• On the transitivity of holonomy systems
• One component of the curvature tensor of a Lorentzian manifold
• On the classification of Lorentzian holonomy groups
• A geometric proof of the Berger holonomy theorem
• Infinite dimensional primitive Lie algebras
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
• Unnamed Item

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