Invariant Affine Connections on Lie Groups

DOI10.2307/2154126zbMath0762.53013OpenAlexW4245310991MaRDI QIDQ4018451

H. Turner Laquer

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154126

zbMATH Keywords

bi-invariant affine connectionshomogeneous principal bundles

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Connections (general theory) (53C05)

Related Items

Invariant affine connections on odd-dimensional spheres ⋮ A loop group method for affine harmonic maps into Lie groups ⋮ Sp(3) structures on 14-dimensional manifolds ⋮ Invariant connections and \(\nabla\)-Einstein structures on isotropy irreducible spaces ⋮ Sectional nonassociativity of metrized algebras ⋮ Reductive homogeneous spaces and nonassociative algebras ⋮ Invariant Affine Connections on Symmetric Spaces ⋮ Affine connections on 3-Sasakian homogeneous manifolds ⋮ Yang-Mills homogeneous connections on compact simple Lie groups ⋮ Unnamed Item ⋮ On some algebras related to simple Lie triple systems

Cites Work

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• Invariant gauge automorphisms of homogeneous principal bundles
• Stability properties of the Yang-Mills functional near the canonical connection
• On Invariant Connections over a Principal Fibre Bundle
• On Automorphisms of A Kählerian Structure
• Young–tableau methods for Kronecker products of representations of the classical groups
• Invariant Affine Connections on Symmetric Spaces
• Invariant Affine Connections on Homogeneous Spaces