CONSTRAINT ALGORITHM FOR k-PRESYMPLECTIC HAMILTONIAN SYSTEMS: APPLICATION TO SINGULAR FIELD THEORIES

DOI10.1142/S0219887809003795zbMath1186.53090arXiv0903.1791OpenAlexW3100695760MaRDI QIDQ3401899

Narciso Román-Roy, Rubén Martín, Xavier Gràcia

Publication date: 1 February 2010

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

Full work available at URL: https://arxiv.org/abs/0903.1791

zbMATH Keywords

Hamiltonian formalismLagrangian formalismfield theoriesconstraint algorithm\(k\)-symplectic manifold\(k\)-presymplectic manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Partial differential equations of mathematical physics and other areas of application (35Q99) Constrained dynamics, Dirac's theory of constraints (70H45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Fiber bundles in algebraic topology (55R10)

Related Items

Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework ⋮ \(k\)-symplectic Pontryagin's maximum principle for some families of PDEs ⋮ The second-order problem for \(k\)-presymplectic Lagrangian field theories: application to the Einstein-Palatini model

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