On homogeneous connections with exotic holonomy

DOI10.1007/BF00147811zbMath0860.53015MaRDI QIDQ1922799

Lorenz J. Schwachhöfer

Publication date: 21 April 1997

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

affine connectionsholonomy\(G\)-structuresclassification of homogeneous \(G_ 3\)-connections

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05) (G)-structures (53C10)

Related Items (3)

Torsion-free \(G_{3}\)-connections that are not analytic ⋮ Connections with irreducible holonomy representations ⋮ DEGENERATE TORSION-FREE G₃-CONNECTIONS

Cites Work

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• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Connections with Exotic Holonomy
• Introduction to Lie Algebras and Representation Theory

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