Author: L. Vitagliano
We define partial differential (PD in the following), i.e., field theoretic, analogues of hamiltonian systems
on abstract symplectic manifolds and study their main properties, namely, PD-Hamilton equations, PD-Noether theorem,
PD-Poisson bracket, etc.. Unlike in standard multisymplectic approach to hamiltonian field theory, in our formalism the
geometric structure (kinematics) and the dynamical information on the "phase space" appear
as just different components of one single geometric object.
See also arXiv: 0903.4528.
Last revised June 29, 2009. 34 pages, LaTeX-2e.
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