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

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

2000-02-10

arxiv.org/abs/math-ph/0002032v3

Reports on Mathematical Physics 47 (1) 2001, 101-119.

Physics

Mathematical Physics

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

Scientific paper

10.1016/S0034-4877(01)90007-2

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.

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