A Poisson bracket on multisymplectic phase space

DOI10.1016/S0034-4877(01)80081-1zbMath1014.53049arXivmath-ph/0009037MaRDI QIDQ696334

Hartmann Römer, Michael Forger

Publication date: 12 September 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0009037

zbMATH Keywords

Poisson bracketmultisymplectic geometrygeometric field theory

Mathematics Subject Classification ID

Related Items (15)

Curved space-times by crystallization of liquid fiber bundles ⋮ On covariant Poisson brackets in classical field theory ⋮ Multisymplectic structures and invariant tensors for Lie systems ⋮ Reduction and reconstruction of multisymplectic Lie systems ⋮ THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY ⋮ Polysymplectic formulation for topologically massive Yang–Mills field theory ⋮ Some remarks on Lagrangian and Poisson reduction for field theories. ⋮ A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity ⋮ Remarks on Hamiltonian structures in G2-geometry ⋮ A Poisson bracket on multisymplectic phase space ⋮ Covariant Poisson brackets in geometric field theory ⋮ De Donder-Weyl equations and multisymplectic geometry ⋮ Hamiltonian multivector fields and Poisson forms in multisymplectic field theory ⋮ MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES ⋮ Geometry of Hamiltonian \(n\)-vector fields in multisymplectic field theory.

Cites Work

• Unnamed Item
• A Poisson bracket on multisymplectic phase space
• A symplectic framework for field theories
• Canonical structure of classical field theory in the polymomentum phase space
• A vertical exterior derivative in multisymplectic geometry and a graded Poisson bracket for nontrivial geometries

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