Symmetries, pseudosymmetries and conservation laws in Lagrangian and Hamiltonian k-symplectic formalisms

DOI10.1142/S0219887816500262zbMath1342.53101arXiv1410.4392MaRDI QIDQ2802583

Florian Munteanu

Publication date: 26 April 2016

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

Full work available at URL: https://arxiv.org/abs/1410.4392

zbMATH Keywords

symmetryconservation lawNoether theorempseudosymmetry\(k\)-symplectic Hamiltonian system\(k\)-symplectic Lagrangian system

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Cites Work

• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• Hamiltonian systems on k-cosymplectic manifolds
• First Integrals Generated by Pseudosymmetries in Nambu-Poisson Mechanics
• The Günther’s formalism in classical field theory: momentum map and reduction
• SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY
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