Holonomy groups and parallel spinors on totally reducible pseudo-Riemannian manifolds

DOI10.1016/j.crma.2004.04.029zbMath1057.53039OpenAlexW2046078206MaRDI QIDQ1876930

Aziz Ikemakhen

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.04.029

zbMATH Keywords

holonomy groupparallel spinorpseudo-Riemannian spin manifoldClifford multiplicationspinor representation.

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29)

Related Items (4)

Parallel spinors on Lorentzian spin\(^{c}\) manifolds ⋮ Pseudo-Riemannian manifolds with recurrent spinor fields ⋮ Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors ⋮ Parallel spinors on pseudo-Riemannian \(spin^{c}\) manifolds

Cites Work

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• Parallel spinors and parallel forms
• Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds
• Parallel pure spinors and holonomy
• On the de Rham decomposition theorem
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• A Theorem on Holonomy

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