A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries
Mathematical Physics
2009-10-31 v3 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0002032,
title = {A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries},
author = {Cornelius Paufler},
journal= {arXiv preprint arXiv:math-ph/0002032},
year = {2009}
}
Comments
14 pages LaTeX, needs bbm.sty; final version accepted for publ. in Rep. on Math. Ph. 47