SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM

DOI10.1142/S0129055X12500304zbMath1321.53093arXiv1204.6573OpenAlexW3102650223MaRDI QIDQ4904603

Lucia Búa, Modesto Salgado, Ioan Bucataru

Publication date: 30 January 2013

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

Full work available at URL: https://arxiv.org/abs/1204.6573

zbMATH Keywords

conservation lawssymmetriesNoether's theoremLagrangian field theories\(k\)-symplectic manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Jets in global analysis (58A20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (4)

Symmetries of second order differential equations on Lie algebroids ⋮ Symmetries in Lagrangian field theory ⋮ Symmetry reduction, integrability and reconstruction in \(k\)-symplectic field theory ⋮ Symmetries of Hamiltonian systems on Lie algebroids

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