Sur la suite exacte canonique associée à un fibré principal

DOI10.24033/bsmf.2032zbMath0592.55010OpenAlexW196043208MaRDI QIDQ3721426

Pierre B. A. Lecomte

Publication date: 1985

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1985__113__259_0

zbMATH Keywords

natural bundlesChern-Weil homomorphismLie algebra of infinitesimal automorphismscurrent algebra of a principal bundleLie algebra of vector-fields of base manifold

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Fiber bundles in algebraic topology (55R10)

Related Items

An Atiyah sequence for noncommutative principal bundles ⋮ On some sequence of graded Lie algebras associated to manifolds ⋮ Infinitesimally natural principal bundles ⋮ Lie Groups of Bundle Automorphisms and Their Extensions ⋮ Generalised spin structures in general relativity ⋮ Extending structures for Lie algebras ⋮ The global extension problem, crossed products and co-flag non-commutative Poisson algebras ⋮ Characteristic classes associated to Q-bundles ⋮ Towards a Lie theory of locally convex groups ⋮ Secondary characteristic class of Lie algebra extensions

Cites Work

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• On the infinitesimal automorphisms of a vector bundle
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• Characteristic forms and geometric invariants
• Differential representations of vector fields
• Transformation Groups and Natural Bundles