k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS

DOI10.1142/S0219887810004506zbMath1375.70082OpenAlexW2056124460WikidataQ57948174 ScholiaQ57948174MaRDI QIDQ3583054

Modesto Salgado, Miguel C. Muñoz-Lecanda, Silvia Vilariño

Publication date: 26 August 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887810004506

zbMATH Keywords

Lagrangian field theories\(k\)-symplectic manifolds\(k\)-cosymplectic manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Variational principles in infinite-dimensional spaces (58E30) 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 (6)

Newton's second law in field theory ⋮ On \(k\)-polycosymplectic Marsden-Weinstein reductions ⋮ \(k\)-symplectic Pontryagin's maximum principle for some families of PDEs ⋮ SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory ⋮ A SURVEY ON COSYMPLECTIC GEOMETRY

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Dynamical structures for k-vector fields
• A Darboux theorem for multi-symplectic manifolds
• Canonical structure of classical field theory in the polymomentum phase space
• Symplectic geometry on \(T^*M\) derived from \(n\)-symplectic geometry on \(LM\)
• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• Symplectic approach to the theory of quantized fields. I
• Structure presque tangente et connexions. I
• The Hamilton-Cartan formalism in the calculus of variations
• Covariant field theory on frame bundles of fibered manifolds
• Geometry of multisymplectic Hamiltonian first-order field theories
• n -symplectic algebra of observables in covariant Lagrangian field theory
• k-cosymplectic manifolds and Lagrangian field theories
• Perturbative quantum corrections and flux compactifications
• NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES
• k-symplectic formalism on Lie algebroids
• A Report on Harmonic Maps
• Hamiltonian systems on k-cosymplectic manifolds
• Schouten–Nijenhuis brackets
• k-symplectic structures
• Maxwell's Equations
• The Günther’s formalism in classical field theory: momentum map and reduction
• Covariant Hamilton equations for field theory
• Multivector field formulation of Hamiltonian field theories: equations and symmetries
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities
• Euler-Poincaré reduction on principal bundles

This page was built for publication: k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS