VARIATIONALLY EQUIVALENT PROBLEMS AND VARIATIONS OF NOETHER CURRENTS

DOI10.1142/S0219887812200241zbMath1271.58008arXiv1512.03176OpenAlexW3101707113MaRDI QIDQ4910900

Mauro Francaviglia, Ekkehart Winterroth, Marcella Palese

Publication date: 13 March 2013

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

Full work available at URL: https://arxiv.org/abs/1512.03176

zbMATH Keywords

jetsgeneralized symmetriesgauge-natural bundleslocal variational problemsstrong Noether currentsvariation of currents

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)

Related Items (8)

Variational sequences, representation sequences and applications in physics ⋮ 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 ⋮ 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

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• GAUGE-NATURAL NOETHER CURRENTS AND CONNECTION FIELDS
• Noether's second theorem in a general setting: reducible gauge theories
• CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES
• AUGMENTED VARIATIONAL PRINCIPLES AND RELATIVE CONSERVATION LAWS IN CLASSICAL FIELD THEORY

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