English

Hamiltonian Vector Fields on Multiphase Spaces of Classical Field Theory

Mathematical Physics 2010-10-05 v1 math.MP

Abstract

We present a classification of hamiltonian vector fields on multisymplectic and polysymplectic fiber bundles closely analogous to the one known for the corresponding dual jet bundles that appear in the multisymplectic and polysymplectic approach to first order classical field theories.

Cite

@article{arxiv.1010.0337,
  title  = {Hamiltonian Vector Fields on Multiphase Spaces of Classical Field Theory},
  author = {Michael Forger and Mário Otávio Salles},
  journal= {arXiv preprint arXiv:1010.0337},
  year   = {2010}
}

Comments

8 pages

R2 v1 2026-06-21T16:22:50.923Z