Connections for Riemannian manifolds with structure group \(G_2\) or Spin(7)

DOI10.1016/J.CRMA.2006.10.019zbMath1110.53021OpenAlexW2084221238MaRDI QIDQ858931

Edmond Bonan

Publication date: 11 January 2007

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.2006.10.019

zbMATH Keywords

Lichnerowicz operatorexterior cubic form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Issues of holonomy in differential geometry (53C29) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (G)-structures (53C10)

Cites Work

• Riemannian manifolds with structure group \(G_ 2\)
• Submanifolds and special structures on the octonians
• A classification of Riemannian manifolds with structure group Spin (7)
• Metrics with exceptional holonomy
• Parallel spinors and connections with skew-symmetric torsion in string theory.
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