Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
From MaRDI portal
Publication:3438675
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
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)
Related Items
On covariant Poisson brackets in classical field theory ⋮ Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory ⋮ A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity ⋮ Remarks on Hamiltonian structures in G2-geometry ⋮ On the geometry of multi-Dirac structures and Gerstenhaber algebras ⋮ Covariant Poisson brackets in geometric field theory ⋮ Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings ⋮ A connection between the classical r-matrix formalism and covariant Hamiltonian field theory ⋮ The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories ⋮ MULTISYMPLECTIC AND POLYSYMPLECTIC STRUCTURES ON FIBER BUNDLES ⋮ Spin(7)-manifolds and multisymplectic geometry
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
