Noether's theorem in time-dependent Lagrangian mechanics

DOI10.1016/0034-4877(92)90014-RzbMath0786.58014OpenAlexW1980102660MaRDI QIDQ1308960

Eduardo Martínez, José F. Cariñena, José Fernández Núñez

Publication date: 6 May 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(92)90014-r

zbMATH Keywords

symmetryNoether's theoremLagrangian mechanicsLagrangian system

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items

Symmetries and constants of the motion for singular Lagrangian systems, Symmetries in Lagrangian field theory, Infinitesimal symmetries in contact Hamiltonian systems, On a time-dependent nonholonomic oscillator, Invariants associated to a variational problem, A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics, ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS, Noether symmetries and integrability in time-dependent Hamiltonian mechanics, Classical group field theory

Cites Work

• On an evolution operator connecting Lagrangian and Hamiltonian formalisms
• A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Poisson maps and canonoid transformations for time-dependent Hamiltonian systems
• Symmetry theory and Lagrangian inverse problem for time-dependent second-order differential equations
• Jet fields, connections and second-order differential equations
• An alternative approach to the Cartan form in Lagrangian field theories
• A new approach to the converse of Noether's theorem
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
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