MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES

DOI10.1142/S0129055X13500189zbMath1290.53041arXiv0708.1586OpenAlexW3099811161MaRDI QIDQ2868740

Michael Forger, Leandro G. Gomes

Publication date: 19 December 2013

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

Full work available at URL: https://arxiv.org/abs/0708.1586

zbMATH Keywords

Hamiltonian formalismmultisymplectic geometrysymbolclassical field theory

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Applications of local differential geometry to the sciences (53B50) Exterior algebra, Grassmann algebras (15A75)

Related Items

Curved space-times by crystallization of liquid fiber bundles, On covariant Poisson brackets in classical field theory, Polysymplectic reduction and the moduli space of flat connections, Lagrangian distributions and connections in multisymplectic and polysymplectic geometry, Poly-Poisson sigma models and their relational poly-symplectic groupoids, Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings, Quantization of polysymplectic manifolds, Poly-symplectic geometry and the AKSZ formalism, Regularized polysymplectic geometry and first steps towards Floer theory for covariant field theories, Poly-symplectic groupoids and poly-Poisson structures, Hamilton-Jacobi theory in Cauchy data space

Cites Work

• A Poisson bracket on multisymplectic phase space
• A Darboux theorem for multi-symplectic manifolds
• A canonical structure for classical field theories
• On the multisymplectic formalism for first order field theories
• Covariant Poisson brackets in geometric field theory
• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• Sur les singularités des formes différentielles
• Geodesic fields in the calculus of variation for multiple integrals
• Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
• k-symplectic structures
• THE POISSON BRACKET FOR POISSON FORMS IN MULTISYMPLECTIC FIELD THEORY
• Unnamed Item
• Unnamed Item
• Unnamed Item