Variational sequences, representation sequences and applications in physics

DOI10.3842/SIGMA.2016.045zbMath1347.70043arXiv1508.01752OpenAlexW1961186632MaRDI QIDQ288692

Ekkehart Winterroth, Jana Musilová, Marcella Palese, Olga Krupková

Publication date: 27 May 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01752

zbMATH Keywords

symmetrycohomologyconservation lawLagrangian formalismjet spacefibered manifoldvariational derivativevariational sequence

Mathematics Subject Classification ID

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

Related Items (10)

Unnamed Item ⋮ The Lagrangian order-reduction theorem in field theories ⋮ Geometric integration by parts and Lepage equivalents ⋮ 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 ⋮ Lepage Manifolds ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Variational derivatives in locally Lagrangian field theories and Noether–Bessel-Hagen currents ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles

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