Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator

DOI10.1063/1.1876872zbMath1110.70025arXivmath-ph/0412004OpenAlexW3103309020MaRDI QIDQ3438410

Modesto Salgado, Ángel M. Rey, Narciso Román-Roy

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0412004

Mathematics Subject Classification ID

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 (13)

Polysymplectic reduction and the moduli space of flat connections ⋮ Higher-order contact mechanics ⋮ Newton's second law in field theory ⋮ Skinner-Rusk formalism for \(k\)-contact systems ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ Unified Lagrangian‐Hamiltonian Formalism for Contact Systems ⋮ Lagrangian-Hamiltonian formalism for cocontact systems ⋮ A contact geometry framework for field theories with dissipation ⋮ The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model ⋮ \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations ⋮ A \(K\)-contact Lagrangian formulation for nonconservative field theories ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES ⋮ Unified formalism for nonautonomous mechanical systems

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