Hamiltonian Vector Fields on Multiphase Spaces of Classical Field Theory

2010/10/02 by Michael Forger, Forger, Michael, Mário Otávio Salles +1
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1010.0337

openalex publication_date 2010/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a classification of hamiltonian vector fields on multisymplectic and polysymplectic fiber bundles closely analogous to the one known for the corresponding dual jet bundles that appear in the multisymplectic and polysymplectic approach to first order classical field theories.

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