HAMILTON–JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES

DOI10.1142/S0219887810004919zbMath1231.70015arXiv1005.1496OpenAlexW3102894194MaRDI QIDQ3084716

Modesto Salgado, Manuel de León, David Martín de Diego, Silvia Vilariño, Juan Carlos Marrero

Publication date: 25 March 2011

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

Full work available at URL: https://arxiv.org/abs/1005.1496

zbMATH Keywords

Hamilton-Jacobi theory\(k\)-symplectic field theories

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (16)

On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Characteristics, bicharacteristics and geometric singularities of solutions of PDEs ⋮ Hamilton-Jacobi theory for gauge field theories ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮ Lagrangian submanifolds in \(k\)-symplectic settings ⋮ The globalization problem of the Hamilton-DeDonder-Weyl equations on a local \(k\)-symplectic framework ⋮ Structural aspects of Hamilton–Jacobi theory ⋮ A Hamilton-Jacobi theory on Poisson manifolds ⋮ A geometric Hamilton–Jacobi theory on a Nambu–Jacobi manifold ⋮ Hamilton–Jacobi formalism on locally conformally symplectic manifolds ⋮ HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities ⋮ Hamilton-Jacobi theory in Cauchy data space ⋮ On locally conformally cosymplectic Hamiltonian dynamics and Hamilton–Jacobi theory

Cites Work

• Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
• Integrable \(p\)-almost tangent manifolds and tangent bundles of \(p^ 1\)- velocities
• Geometry of Hamiltonian \(n\)-vector fields in multisymplectic field theory.
• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• Hamilton-Jacobi approach for first order actions and theories with higher derivatives
• k-cosymplectic manifolds and Lagrangian field theories
• GEOMETRIC HAMILTON–JACOBI THEORY
• Constructing a class of solutions for the Hamilton-Jacobi equation in field theory
• Hamiltonian systems on k-cosymplectic manifolds
• k-symplectic structures
• The Günther’s formalism in classical field theory: momentum map and reduction
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities

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