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arxiv: math-ph/0407057 · v1 · submitted 2004-07-25 · 🧮 math-ph · math.MP

Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory

classification 🧮 math-ph math.MP
keywords poissonformsfieldfieldshamiltonianmultivectorappearingbracket
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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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