Dynamical structures for k-vector fields

DOI10.1007/BF00668840zbMath0655.58040OpenAlexW120174085MaRDI QIDQ1109396

Geoffrey V. Martin

Publication date: 1988

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00668840

zbMATH Keywords

electrodynamicspartial differential equationsmechanics1-jets

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Jets in global analysis (58A20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Electromagnetic theory (general) (78A25)

Related Items (15)

On covariant Poisson brackets in classical field theory ⋮ The Günther’s formalism in classical field theory: momentum map and reduction ⋮ Invariants associated to a variational problem ⋮ Unnamed Item ⋮ SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY ⋮ NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES ⋮ Geometry of multisymplectic Hamiltonian first-order field theories ⋮ SYMMETRIES IN CLASSICAL FIELD THEORY ⋮ On compact semisimple Lie groups as 2-plectic manifolds ⋮ k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS ⋮ Hamiltonian systems on k-cosymplectic manifolds ⋮ De Donder-Weyl equations and multisymplectic geometry ⋮ Geometric structures approximated by Maxwell's equations ⋮ \(\mathrm{SU}(3)\) as a 2-plectic manifold ⋮ Geometry of Hamiltonian \(n\)-vector fields in multisymplectic field theory.

Cites Work

• Unnamed Item
• Relation between charge and energy conservation in a nonlinear electrodynamics
• The Hamilton-Cartan formalism in the calculus of variations
• On the Geometry of the Tangent Bundle.

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