A geometric setting for higher-order Dirac-Bergmann theory of constraints

Journal of Mathematical Physics

Volumn 35, Issue 12, 1994, Pages 6557-6576

  Krupková, Olga ^a  

^a SILESIAN UNIVERSITY IN OPAVA   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21844508067     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.530691     Document Type: Article

References (30)

1. Generalized Hamiltonian dynamics
2. Reduction of degenerate Lagrangian systems
3. Geometric study of the connection between the Lagrangian and Hamiltonian constraints
4. Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
5. Presymplectic Lagrangian systems I: The constraint algorithm and the equivalence theorem
6. Presymplectic Lagrangian systems II: The second-order equation problem
7. Presymplectic manifolds and the Dirac-Bergmann theory of constraints
8. Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
9. Constraint time-dependent Lagrangian systems and Lagrangian submanifolds
10. Degenerate time-dependent Lagrangians of second order: The fourth-order differential equation problem
11. The Hamilton-Cartan formalism in the calculus of variations
12. Some geometric aspects of variational problems in fibered manifolds
13. Lepagean forms in higher-order variational theory
14. Geometry of Lagrangian structures 2, 3
15. Proceedings of the 14th Winter School on Abstract Analysis
16. On the geometrical structure of higher-order variational calculus
17. Le théorème de Helmholtz-Cartan pour une intégrale simple d'ordre supérieur
18. The Hamiltonian formulation of regular rth-order Lagrangian field theories
19. On the Hamilton form in second-order calculus of variations
20. Lepagean two-forms in higher-order Hamiltonian mechanics, I. Regularity, II. Inverse problem
21. Variational analysis on fibered manifolds over one-dimensional bases
22. Integrals of motion and semiregular Lepagean forms in higher order mechanics
23. Generalized Lagrangian dynamics and Noetherian symmetries
24. A Geometric Theory of Variational Ordinary Differential Equations
25. On the existence of global variational principles
26. The l-spectral sequence, Lagrangian formalism, and conservation laws. I. The linear theory. II. The nonlinear theory
27. On the inverse problem of the calculus of variations for ordinary differential equations