Singular Lagrangians: some geometric structures along the Legendre map

DOI10.1088/0305-4470/34/14/311zbMath1032.70010arXivmath-ph/0009038OpenAlexW2108178811MaRDI QIDQ4552118

Xavier Gràcia, Josep M. Pons

Publication date: 29 August 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0009038

zbMATH Keywords

Hamiltonian vector fieldkernelvelocity spacepresymplectic formdynamical symmetriesprojectabilityfibre derivativeLagrangian dynamical vector fields

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

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