A general construction of Poisson brackets on exact multisymplectic manifolds
Mathematical Physics
2015-06-26 v1 Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0208037,
title = {A general construction of Poisson brackets on exact multisymplectic manifolds},
author = {Michael Forger and Cornelius Paufler and Hartmann Römer},
journal= {arXiv preprint arXiv:math-ph/0208037},
year = {2015}
}
Comments
8 pages LaTeX, Talk delivered at the 34th Symp. on Math. Phys., Torun, Poland, June 2002