Local variational problems and conservation laws

DOI10.1016/j.difgeo.2011.04.011zbMath1233.58002OpenAlexW1969912220WikidataQ115356910 ScholiaQ115356910MaRDI QIDQ719821

Marcella Palese, Ekkehart Winterroth, Marco Ferraris

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2318/91026

zbMATH Keywords

symmetrycohomologyconservation lawLagrangian formalismjet spacefibered manifoldvariational sequence

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Sheaf cohomology in algebraic topology (55N30) Jets in global analysis (58A20) de Rham theory in global analysis (58A12) Symmetries and conservation laws in mechanics of particles and systems (70S10) Fiber bundles in algebraic topology (55R10) Currents in global analysis (58A25)

Related Items (10)

Variational sequences, representation sequences and applications in physics ⋮ Geometric integration by parts and Lepage equivalents ⋮ Lie n-algebras of BPS charges ⋮ A cohomological obstruction in higher-dimensional Chern–Simons gauge theories ⋮ Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory ⋮ Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents ⋮ VARIATIONALLY EQUIVALENT PROBLEMS AND VARIATIONS OF NOETHER CURRENTS ⋮ Unnamed Item ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Variational derivatives in locally Lagrangian field theories and Noether–Bessel-Hagen currents

Cites Work

• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• A global version of the inverse problem of the calculus of variations
• Trivial Lagrangians in field theory
• Spencer sequence and variational sequence
• Symmetries in finite order variational sequences
• Variational principles for locally variational forms
• On the Existence of Global Variational Principles
• The Lagrange complex
• Finite order variational bicomplexes
• Some remarks on gravitational analogues of magnetic charge
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