Geometry of multisymplectic Hamiltonian first-order field theories

DOI10.1063/1.1308075zbMath1007.70023arXivmath-ph/0004005OpenAlexW2047679597MaRDI QIDQ2738259

Arturo Echeverría-Enríquez, Miguel C. Muñoz-Lecanda, Narciso Román-Roy

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0004005

zbMATH Keywords

variational principleelectromagnetic fieldconnectionsmultisymplectic manifoldsfirst-order field theoriescovariant Hamiltonian formalismalmost regular Lagrangian systemshyper-regular Lagrangian systemsnonautonomous mechanics

Mathematics Subject Classification ID

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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