Generalized Bianchi identities for horizontal distributions

DOI10.1017/S0305004100060953zbMath0521.53023MaRDI QIDQ3670104

Mike Crampin

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

second-order differential equationgraded Lie algebraBianchi identitieshorizontal distributionvertical forms

Mathematics Subject Classification ID

Global differential geometry (53C99) Other connections (53B15) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (11)

Some variations on the notion of connection ⋮ Derivations of forms along a map: The framework for time-dependent second-order equations ⋮ Para‐Hermitian Geometry, Dualities and Generalized Flux Backgrounds ⋮ Derivations of differential forms along the tangent bundle projection ⋮ Natural operations with projectable tangent valued forms on a fibred manifold ⋮ Lagrange–Fedosov nonholonomic manifolds ⋮ A generalization of Weyl's theorem on projectively related affine connections ⋮ Computer algebra solution of the inverse problem in the calculus of variations ⋮ Automorphisms of Ehresmann connections ⋮ Torsion and Ricci tensor for nonlinear connections ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Tangent bundle geometry Lagrangian dynamics
• On Horizontal Distributions on the Tangent Bundle of a Differentiable Manifold

This page was built for publication: Generalized Bianchi identities for horizontal distributions