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Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory

Mathematical Physics 2009-11-10 v1 math.MP

Abstract

We present a general classification of Hamiltonian multivector fields and of Poisson forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories. This is a prerequisite for computing explicit expressions for the Poisson bracket between two Poisson forms.

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Cite

@article{arxiv.math-ph/0407057,
  title  = {Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory},
  author = {Michael Forger and Cornelius Paufler and Hartmann Römer},
  journal= {arXiv preprint arXiv:math-ph/0407057},
  year   = {2009}
}

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50 pages