Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory

Abstract

We present a general classification of Hamiltonian multivector fields and of Poisson forms on the extended multiphase space appearing in the geometric formulation of first order classical field theories. This is a prerequisite for computing explicit expressions for the Poisson bracket between two Poisson forms.

50 pages

References in corpus (4)

• On Field Theoretic Generalizations of a Poisson Algebra
• The Poisson Bracket for Poisson Forms in Multisymplectic Field Theory
• Covariant Poisson Brackets in Geometric Field Theory
• A Poisson Bracket on Multisymplectic Phase Space

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