Skinner-Rusk formalism for \(k\)-contact systems

DOI10.1016/j.geomphys.2021.104429zbMath1494.70003arXiv2109.07257OpenAlexW4205767647MaRDI QIDQ2667807

Xavier Rivas, Xavier Gràcia, Narciso Román-Roy

Publication date: 2 March 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.07257

zbMATH Keywords

Hamiltonian formalismcontact manifoldLagrangian formalismclassical field theorySkinner-Rusk formalism\(k\)-symplectic structure, k-contact field theory

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential forms in global analysis (58A10) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Constrained dynamics, Dirac's theory of constraints (70H45) 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) Maxwell equations (35Q61) PDEs on manifolds (35R01)

Related Items (6)

Nonautonomous k-contact field theories ⋮ Time-dependent contact mechanics ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ Contact Lie systems: theory and applications ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Multicontact formulation for non-conservative field theories

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