Connections with irreducible holonomy representations

DOI10.1006/aima.2000.1973zbMath1037.53035OpenAlexW2017515408WikidataQ56386880 ScholiaQ56386880MaRDI QIDQ5940000

Lorenz J. Schwachhöfer

Publication date: 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8d00019f0591ebe7e238a8df9eaeb4d359f48463

zbMATH Keywords

representation theoryholonomy groupsBerger group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Twistor methods in differential geometry (53C28) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05) Sub-Riemannian geometry (53C17)

Related Items

Holonomy Groups and Algebras, Torsion-free \(G_{3}\)-connections that are not analytic, Argument shift method and sectional operators: applications to differential geometry, Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4, Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature, Irreducible holonomy algebras of Riemannian supermanifolds, The algebra of parallel endomorphisms of a pseudo-Riemannian metric: semi-simple part, Conformal holonomy of \(\mathbb{C}\)-spaces, Ricci-flat, and Lorentzian manifolds, Irreducible holonomy algebras of odd Riemannian supermanifolds, On the holonomy of Lorentzian metrics, One component of the curvature tensor of a Lorentzian manifold, SYMPLECTIC CONNECTIONS, Holonomy of supermanifolds, Irreducible complex skew-Berger algebras, Differential geometry of \(\textsf{SO}^\ast(2n)\)-type structures

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