Jet fields, connections and second-order differential equations

DOI10.1088/0305-4470/20/11/029zbMath0627.70013OpenAlexW2029853675MaRDI QIDQ3763631

David J.Saunders

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1088/0305-4470/20/11/029

zbMATH Keywords

Lagrangian field theoriesCartan-Ehresmann connectiontime-dependent Lagrangian particle dynamics

Mathematics Subject Classification ID

Lagrange's equations (70H03) Classical field theories (70Sxx)

Related Items (10)

Infinite-dimensional second order ordinary differential equations via \(T^{2}M\) ⋮ Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints ⋮ Lepage Manifolds ⋮ Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle ⋮ The inverse problem in the calculus of variations and the geometry of the tangent bundle ⋮ The geometry of tangent bundles: canonical vector fields ⋮ Unnamed Item ⋮ Natural dynamical connections ⋮ Noether's theorem in time-dependent Lagrangian mechanics ⋮ Nonstandard connections in k-cosympletic field theory

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