Fibre derivatives: Some applications to singular Lagrangians

DOI10.1016/S0034-4877(00)88872-2zbMath0983.37078arXivmath-ph/0007038OpenAlexW2046829095MaRDI QIDQ1573872

Xavier Gràcia

Publication date: 9 August 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0007038

zbMATH Keywords

free particlesingular Lagrangianfibre derivative

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (6)

Nonautonomous k-contact field theories ⋮ Symmetries, Conservation and Dissipation in Time‐Dependent Contact Systems ⋮ Geometric reduction in optimal control theory with symmetries ⋮ Canonical Noether symmetries and commutativity properties for gauge systems ⋮ A \(K\)-contact Lagrangian formulation for nonconservative field theories ⋮ GEOMETRIC HAMILTON–JACOBI THEORY

Cites Work

• Geometric study of the connection between the Lagrangian and Hamiltonian constraints
• Sections along a map applied to higher-order Lagrangian mechanics. Noether's theorem
• Manifolds, tensor analysis, and applications.
• A generalized geometric framework for constrained systems
• The Hamilton-Cartan formalism in the calculus of variations
• New relations between Hamiltonian and Lagrangian constraints
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
• Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
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