PRE-MULTISYMPLECTIC CONSTRAINT ALGORITHM FOR FIELD THEORIES

DOI10.1142/S0219887805000880zbMath1156.70317arXivmath-ph/0506005OpenAlexW3100184099WikidataQ57948218 ScholiaQ57948218MaRDI QIDQ5709213

Manuel de León, Miguel C. Muñoz-Lecanda, Jesús Marín-Solano, Narciso Román-Roy, Juan Carlos Marrero

Publication date: 29 November 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0506005

zbMATH Keywords

connectionsmultisymplectic manifoldsconstraintsfield theoriesFiber bundles

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)

Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories ⋮ Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ Higher-order field theory with constraints ⋮ Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory ⋮ Variational principles and symmetries on fibered multisymplectic manifolds ⋮ Unified formalism for Palatini gravity ⋮ Extended Hamiltonian systems in multisymplectic field theories ⋮ Griffiths variational multisymplectic formulation for Lovelock gravity ⋮ Multisymplectic unified formalism for Einstein-Hilbert gravity ⋮ Order reduction, projectability and constraints of second-order field theories and higher-order mechanics ⋮ The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model ⋮ CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES

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