A general construction of Poisson brackets on exact multisymplectic manifolds

Details A general construction of Poisson brackets on exact multisymplectic manifolds A general construction of Poisson brackets on exact multisymplectic manifolds

2002-08-26

arxiv.org/abs/math-ph/0208037v1

Reports on Math. Phys. 51 (2003), 187

Physics

Mathematical Physics

8 pages LaTeX, Talk delivered at the 34th Symp. on Math. Phys., Torun, Poland, June 2002

Scientific paper

In this note the long standing problem of the definition of a Poisson bracket
in the framework of a multisymplectic formulation of classical field theory is
solved. The new bracket operation can be applied to forms of arbitary degree.
Relevant examples are discussed and important properties are stated with proofs
sketched.

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