Extended tangent bundle formalism for time-dependent Lagrangian systems

DOI10.1063/1.529442zbMath0850.70194OpenAlexW2135688013MaRDI QIDQ3977856

Manuel F. Rañada

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529442

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

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Cites Work

• Equations of motion, commutation relations and ambiguities in the Lagrangian formalism
• Tangent bundle geometry Lagrangian dynamics
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Generalized canonical transformations for time-dependent systems
• Symmetry theory and Lagrangian inverse problem for time-dependent second-order differential equations
• Generalizations of Noether’s Theorem in Classical Mechanics
• On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamics