Constraint field systems in multimomentum canonical variables

DOI10.1063/1.530693zbMath0836.70013OpenAlexW2079688753MaRDI QIDQ4837147

Gennadi A. Sardanashvily

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530693

zbMATH Keywords

Lagrangian densityHamiltonian formsLegendre transformationfibered manifoldjet manifoldgravitation theorymultisymplectic approachfermion fieldsgauge theory of principal connectionsGotay-Nester globalization of the Dirac-Bergmann constraint algorithmsingular classical field theories of order one

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Projective differential geometry (53A20) Hamiltonian and Lagrangian mechanics (70H99) Classical field theories (70Sxx)

Related Items (3)

Hamiltonian time-dependent mechanics ⋮ Covariant momentum map thermodynamics for parametrized field theories ⋮ Stress-energy-momentum tensors in constraint field theories

Cites Work

• On application of the Hamilton formalism in fibred manifolds to field theory
• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• Hamiltonian systems on fibered manifolds
• The multimomentum Hamiltonian formalism in gauge theory
• A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
• On the multisymplectic formalism for first order field theories
• On the geometric structure of gauge theories
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• On the Legendre map in higher-order field theories
• Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds

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