The constraint algorithm in the jet formalism

DOI10.1016/0926-2245(96)82423-5zbMath0862.70015OpenAlexW2012862937WikidataQ115362497 ScholiaQ115362497MaRDI QIDQ1924643

Manuel de León, Jesús Marín-Solano, Juan Carlos Marrero

Publication date: 20 October 1996

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(96)82423-5

zbMATH Keywords

fibered manifoldsdegenerate non-autonomous Lagrangians

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

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Cites Work

• Reduction of degenerate Lagrangian systems
• A symplectic framework for field theories
• A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
• On the multisymplectic formalism for first order field theories
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
• Time-dependent Lagrangian systems: a geometric approach using semibasic forms
• Geometry of the dynamical systems with time-dependent constraints and time-dependent Hamiltonian: An approach towards quantization
• Geometric Lagrangian approach to first-order systems and applications
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• On the Legendre map in higher-order field theories
• GEOMETRICAL SETTING OF TIME-DEPENDENT REGULAR SYSTEMS: ALTERNATIVE MODELS.
• Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds
• Jet methods in nonholonomic mechanics
• Natural dynamical connections
• A geometric classification of Lagrangian functions and the reduction of evolution space
• Extended Legendre transformation approach to the time-dependent Hamiltonian formalism
• Constrained time-dependent Lagrangian systems and Lagrangian submanifolds
• The constraint algorithm for time-dependent Lagrangians
• A geometric setting for higher-order Dirac–Bergmann theory of constraints
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