Abstract
Partial differential Hamiltonian systems have been recently introduced by the author in arXiv:0903.4528. They are field theoretic analogues of Hamiltonian systems on abstract symplectic manifolds. We will present here their main geometry, consisting of partial differential Hamilton equations, partial differential Noether theorem, partial differential Poisson bracket, etc.
Information
Digital Object Identifier: 10.7546/giq-11-2010-221-230