Natural connections on Stiefel bundles are sourceless gauge fields

DOI10.1063/1.523755zbMath0398.53021OpenAlexW1980465364MaRDI QIDQ4183339

Jerzy Nowakowski, Andrzej Trautman

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523755

zbMATH Keywords

Grassmann ManifoldsConnections on Stiefel BundlesSourceless Gauge Fields

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Connections (general theory) (53C05) (G)-structures (53C10) Fiber bundles in algebraic topology (55R10)

Related Items (8)

An embedding of some Stiefel bundles ⋮ The Hopf fibration --- seven times in physics ⋮ Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces ⋮ Canonical connections on Riemannian symmetric spaces and solutions to the Einstein–Yang–Mills equations ⋮ The geometry of gauge fields ⋮ Brane descent relations in \(K\)-theory ⋮ Some Yang–Mills fields constructed from Maxwell fields ⋮ Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map

Cites Work

• Fibre bundles associated with space-time
• Lorentz Invariance and the Gravitational Field
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Integral Formalism for Gauge Fields
• Quantised singularities in the electromagnetic field,
• Existence of Universal Connections

This page was built for publication: Natural connections on Stiefel bundles are sourceless gauge fields