A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics

DOI10.1007/BF01811294zbMath0745.58020OpenAlexW2015488306MaRDI QIDQ1182288

Eduardo Martínez, José Fernández Núñez, José F. Cariñena

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01811294

zbMATH Keywords

Noether's Second Theoremtime-dependent Lagrangian mechanics

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Hamiltonian time-dependent mechanics ⋮ Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints ⋮ Symmetries and constants of the motion for singular Lagrangian systems ⋮ The constraint algorithm in the jet formalism ⋮ Symmetries in Lagrangian field theory ⋮ Infinitesimal symmetries in contact Hamiltonian systems ⋮ The constraint algorithm for time-dependent Lagrangians ⋮ Invariants associated to a variational problem ⋮ ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS ⋮ Noether's theorem in time-dependent Lagrangian mechanics

Cites Work

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• Noether's theorem in time-dependent Lagrangian mechanics
• On the multisymplectic formalism for first order field theories
• A new approach to the converse of Noether's theorem