On affine connections whose holonomy is a tensor representation

DOI10.4171/ZAA/754zbMath0882.53015MaRDI QIDQ1355115

Lorenz J. Schwachhöfer

Publication date: 5 March 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

torsion-free connectionsholonomy representations of reductive Lie groupsprescribed holonomy

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Linear and affine connections (53B05) (G)-structures (53C10)

Cites Work

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• On the transitivity of holonomy systems
• Metrics with exceptional holonomy
• Exotic holonomy on moduli spaces of rational curves
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• On the Holonomy Groups of Linear Connections
• Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
• Differential geometry of quaternionic manifolds
• The Integrability Problem for G-Structures
• Geometry Associated with Semisimple Flat Homogeneous Spaces
• A Theorem on Holonomy

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