SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY

DOI10.1142/S0129055X07003188zbMath1137.70016arXivmath-ph/0703035MaRDI QIDQ5386933

Narciso Román-Roy, Modesto Salgado, Silvia Vilariño

Publication date: 14 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703035

zbMATH Keywords

conservation lawsLagrangian gauge symmetriesNoether's theoremCartan symmetries

Mathematics Subject Classification ID

Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items (15)

Symmetries of second order differential equations on Lie algebroids ⋮ Symmetries in Lagrangian field theory ⋮ Symmetry reduction, integrability and reconstruction in \(k\)-symplectic field theory ⋮ On \(k\)-polycosymplectic Marsden-Weinstein reductions ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ A contact geometry framework for field theories with dissipation ⋮ \(k\)-symplectic Lie systems: theory and applications ⋮ \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations ⋮ Symmetries, pseudosymmetries and conservation laws in Lagrangian and Hamiltonian k-symplectic formalisms ⋮ A \(K\)-contact Lagrangian formulation for nonconservative field theories ⋮ On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory ⋮ Multivector fields of Noether symmetries in the Lagrangian formalism and Belinfante tensor ⋮ Poly-symplectic groupoids and poly-Poisson structures ⋮ Cotangent bundle reduction and Routh reduction for polysymplectic manifolds

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