New operators on jet spaces

DOI10.5802/afst.593zbMath0532.58001OpenAlexW2335328030MaRDI QIDQ3314601

Marco Modugno, Luigi Mangiarotti

Publication date: 1983

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1983_5_5_2_171_0

zbMATH Keywords

tangent functorinfinitesimal contact transformationsjet functorprolongations of vector fields

Mathematics Subject Classification ID

Jets in global analysis (58A20) Exterior differential systems (Cartan theory) (58A15) Manifolds and measure-geometric topics (49Q99)

Related Items (12)

Classification of infinitesimal symmetries in covariant classical mechanics ⋮ On the geometrical structure of Euler-Lagrange equations ⋮ Jet methods in nonholonomic mechanics ⋮ Cohomology of horizontal forms ⋮ Natural bundles and operators ⋮ Unnamed Item ⋮ Infinitesimal natural and gauge-natural lifts ⋮ Flow prolongation of some tangent valued forms ⋮ The Kostant-García quantization of the bundle of connections ⋮ On the algebraic structure on the jet prolongations of fibred manifolds ⋮ Representation of the variational sequence by differential forms ⋮ A differential equations approach to Hamiltonian systems

Cites Work

• A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
• Integrability criteria for systems of nonlinear partial differential equations
• The Hamilton-Cartan formalism in the calculus of variations
• Variational principles on rth order jets of fibre bundles in field theory
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