Conservation laws and variational sequences in gauge-natural theories

DOI10.1017/S0305004101004881zbMath0988.58006arXivmath-ph/0311028OpenAlexW3098352632MaRDI QIDQ2725006

Mauro Francaviglia, Marcella Palese, Lorenzo Fatibene

Publication date: 10 July 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0311028

zbMATH Keywords

variational bicomplexLagrangiansgauge-natural bundlesvariational Lie derivative

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Symmetries and conservation laws in mechanics of particles and systems (70S10) Natural bundles (58A32)

Related Items (11)

Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles ⋮ Einstein-Dirac theory on gauge-natural bundles ⋮ The relation between the Jacobi morphism and the Hessian in gauge-natural field theories ⋮ Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration ⋮ Natural principal connections on the principal gauge prolongation of a principal bundle ⋮ Reduction theorems for principal and classical connections ⋮ Covariant gauge-natural conservation laws ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles ⋮ Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory ⋮ Symmetries in finite order variational sequences

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