A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries

Abstract

A vertical exterior derivative is constructed that is needed for a graded Poisson structure on multisymplectic manifolds over nontrivial vector bundles. In addition, the properties of the Poisson bracket are proved and first examples are discussed.

14 pages LaTeX, needs bbm.sty; final version accepted for publ. in Rep. on Math. Ph. 47

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