Covariant Hamilton equations for field theory

DOI10.1088/0305-4470/32/38/302zbMath0982.70020arXivhep-th/9904062OpenAlexW2602375416MaRDI QIDQ4947792

Giovanni Giachetta, Luigi Mangiarotti, Gennadi A. Sardanashvily

Publication date: 25 April 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9904062

zbMATH Keywords

Euler-Lagrange equationsCartan equationsfinite-dimensional phase spaceconstrained Hamilton equationspolysymplectic Hamiltonian formalismalmost regular Lagrangiancovariant Hamilton equationsdegenerate quadratic Lagrangiandegenerate semiregular Lagrangianfirst-order Lagrangian field theoryHamilton-DeDonder equationsmultisymplectic Hamilton formalism

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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