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
Published: 1 January 2010
First available in Project Euclid: 13 July 2015
zbMATH: 1382.37067
MathSciNet: MR2757936
Digital Object Identifier: 10.7546/giq-11-2010-221-230
Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
