Variational principles and symmetries on fibered multisymplectic manifolds

DOI10.1515/cm-2016-0010zbMath1406.49054arXiv1610.08689OpenAlexW2963823810MaRDI QIDQ2970115

Jordi Gaset, Narciso Román-Roy, Pedro Daniel Prieto-Martínez

Publication date: 27 March 2017

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08689

zbMATH Keywords

variational principlessymmetriesNoether theoremconserved quantitiesfiber bundlesmultisymplectic manifolds.

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Symmetries and conservation laws in mechanics of particles and systems (70S10) Variational principles of physics (49S05) Fiber bundles in algebraic topology (55R10)

Related Items

Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories ⋮ Invariants associated to a variational problem ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ A summary on symmetries and conserved quantities of autonomous Hamiltonian systems ⋮ Multisymplectic unified formalism for Einstein-Hilbert gravity ⋮ A review on geometric formulations for classical field theory: the Bonzom–Livine model for gravity

Cites Work

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• Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage-Dedecker versus De Donder-Weyl
• Symmetries and constants of the motion for singular Lagrangian systems
• Higher-order mechanics: variational principles and other topics
• The Hamilton-Cartan formalism in the calculus of variations
• Geometry of Lagrangian First-order Classical Field Theories
• Constraints in Hamiltonian time-dependent mechanics
• Variational principles on rth order jets of fibre bundles in field theory
• Variational principles for multisymplectic second-order classical field theories
• Extended Hamiltonian systems in multisymplectic field theories
• Higher-order Noether symmetries and constants of the motion
• Higher-order Hamiltonian formalism in field theory
• SYMMETRIES IN CLASSICAL FIELD THEORY
• Multivector fields and connections: Setting Lagrangian equations in field theories
• Multivector field formulation of Hamiltonian field theories: equations and symmetries
• Introduction to Global Variational Geometry
• PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES
• A variational approach to second-order multisymplectic field theory