Invariant variational problems on linear frame bundles

DOI10.1088/0305-4470/35/8/315zbMath1029.70013OpenAlexW1973969639MaRDI QIDQ4545289

María Eugenia Rosado María, Jaime Muñoz Masqué

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/8/315

zbMATH Keywords

manifoldHamiltonian structurevariational problemsinfinitesimal symmetriesjet bundlelinear framesvertical symmetryNoether invariantsinvariant Lagrangians

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Other variational principles in mechanics (70H30) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

Global characterization of variational first-order quasi-linear equations ⋮ The problem of invariance for covariant Hamiltonians ⋮ Cohomology of horizontal forms ⋮ Diffeomorphism-invariant covariant Hamiltonians of a linear frame and a linear connection ⋮ Integrability of the field equations of invariant variational problems on linear frame bundles

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