On the multimomentum bundles and the Legendre maps in field theories

DOI10.1016/S0034-4877(00)88873-4zbMath0953.70020arXivmath-ph/9904007WikidataQ57948264 ScholiaQ57948264MaRDI QIDQ1573871

Arturo Echeverría-Enríquez, Narciso Román-Roy, Miguel C. Muñoz-Lecanda

Publication date: 9 August 2000

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

Full work available at URL: https://arxiv.org/abs/math-ph/9904007

zbMATH Keywords

Hamiltonian formalismjet bundlescanonical structuresalmost-regular Lagrangian systemsfirst-order classical field theoriesLegendre mapsmultimomentum bundles

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items

Invariants associated to a variational problem ⋮ Lepage Manifolds ⋮ Vector hulls of affine spaces and affine bundles ⋮ Geometry of multisymplectic Hamiltonian first-order field theories ⋮ SYMMETRIES IN CLASSICAL FIELD THEORY ⋮ On the multimomentum bundles and the Legendre maps in field theories

Cites Work

• On application of the Hamilton formalism in fibred manifolds to field theory
• A symplectic framework for field theories
• On the multisymplectic formalism for first order field theories
• On the multimomentum bundles and the Legendre maps in field theories
• Constrained Hamiltonian systems and gauge theories
• The constraint algorithm in the jet formalism
• The Hamilton-Cartan formalism in the calculus of variations
• Geometry of Lagrangian First-order Classical Field Theories
• An alternative approach to the Cartan form in Lagrangian field theories
• Multisymplectic geometry, covariant Hamiltonians, and water waves
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