Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory
arXiv:math-ph/0407057 · doi:10.1063/1.2116320
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.
50 pages