Physics – Mathematical Physics
Scientific paper
2002-02-27
Rev.Math.Phys. 15 (2003) 705-744
Physics
Mathematical Physics
40 pages LaTeX
Scientific paper
10.1142/S0129055X03001734
We present a general definition of the Poisson bracket between differential forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories and, more generally, on exact multisymplectic manifolds. It is well defined for a certain class of differential forms that we propose to call Poisson forms and turns the space of Poisson forms into a Lie superalgebra.
Forger Michael
Paufler Cornelius
Roemer Hartmann
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