On a bicomplex induced by the variational sequence

DOI10.1142/S0219887815500577zbMath1322.58013OpenAlexW2070376489MaRDI QIDQ5261031

Giovanni Moreno, Zbyněk Urban, Jana Volná, Demeter Krupka

Publication date: 1 July 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887815500577

zbMATH Keywords

Lagrangianvariational bicomplexvariational sequenceEuler-Lagrange expressionsHelmhotz expressions

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Differential forms in global analysis (58A10)

Related Items (4)

Geometry of the free-sliding Bernoulli beam ⋮ First-Order Variational Sequences in Field Theory ⋮ Variational derivatives in locally Lagrangian field theories and Noether–Bessel-Hagen currents ⋮ On a global Lagrangian construction for ordinary variational equations on 2-manifolds

Cites Work

• A unified approach to computation of integrable structures
• Variational sequences in mechanics on Grassmann fibrations
• A global version of the inverse problem of the calculus of variations
• The variational sequence on finite jet bundle extensions and the Lagrangian formalism
• Variational sequences in mechanics
• Finite-order formulation of Vinogradov's \({\mathcal C}\)-spectral sequence
• Spencer sequence and variational sequence
• Local vanishing of characteristic cohomology
• Representation of the variational sequence by differential forms
• Symmetries in finite order variational sequences
• Variational principles for locally variational forms
• On the Existence of Global Variational Principles
• Global variational theory in fibred spaces
• Variational sequences

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