Imaginary Killing spinors on \((2, n - 2)\)-manifolds

DOI10.1134/S1995080209010119zbMath1175.53062OpenAlexW1967116347MaRDI QIDQ1014078

J. Martínez

Publication date: 24 April 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080209010119

zbMATH Keywords

Einstein manifoldKilling spinorsemi-Riemannian manifoldwarped product

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27) Kähler-Einstein manifolds (32Q20) Differentiable structures in differential topology (57R55) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Global differential geometry (53Cxx)

Cites Work

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• Complete Riemannian manifolds with imaginary Killing spinors
• Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds
• Killing spinors on Lorentzian manifolds
• Essential conformal fields in pseudo-Riemannian geometry
• Real Killing spinors and holonomy
• Imaginary Killing spinors in Lorentzian geometry

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