HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES

DOI10.1142/S0219887814500078zbMath1285.53083arXiv1304.3360OpenAlexW2030064248MaRDI QIDQ2874229

Manuel de León, Silvia Vilariño

Publication date: 29 January 2014

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

Full work available at URL: https://arxiv.org/abs/1304.3360

zbMATH Keywords

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

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton-Jacobi equations in mechanics (70H20) 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)

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On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective ⋮ Geometric Hamilton–Jacobi theory for systems with external forces ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Characteristics, bicharacteristics and geometric singularities of solutions of PDEs ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ Structural aspects of Hamilton–Jacobi theory ⋮ 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

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