Representation of the variational sequence by differential forms.

DOI10.1016/S0034-4877(03)80018-6zbMath1046.58005OpenAlexW2081312658MaRDI QIDQ595932

Jana Musilová, Michael Krbek

Publication date: 6 August 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)80018-6

zbMATH Keywords

contact formvariational sequenceformal differential operatorde Rham sequenceEuler-Lagrange mappingHelmholtz-Sonin mapping

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Exterior differential systems (Cartan theory) (58A15) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Variational sequences, representation sequences and applications in physics ⋮ Lepage Manifolds ⋮ Lepage forms, closed 2-forms and second-order ordinary differential equations ⋮ Contact symmetries and variational PDE's ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Representation of the variational sequence by differential forms ⋮ Variational principles for locally variational forms

Cites Work

• The structure of the Euler-Lagrange mapping
• The variational sequence on finite jet bundle extensions and the Lagrangian formalism
• Representation of the variational sequence by differential forms
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