Hamiltonian multivector fields and Poisson forms in multisymplectic field theory

DOI10.1063/1.2116320zbMath1111.70023arXivmath-ph/0407057OpenAlexW3104333217MaRDI QIDQ3438675

Hartmann Römer, Cornelius Paufler, Michael Forger

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0407057

zbMATH Keywords

geometric formulationextended multiphase space

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

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Cites Work

• A Poisson bracket on multisymplectic phase space
• On the multisymplectic formalism for first order field theories
• On field theoretic generalizations of a Poisson algebra
• Covariant Poisson brackets in geometric field theory
• Symplectic geometry of the convariant phase space
• THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY