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Singular Lagrangian Systems on Jet Bundles

M. de León·J. Marín-Solano·J. C. Marrero·M. C. Muñoz-Lecanda·N. Román-Roy
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Abstract

The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint functions is given. By means of auxiliary connections we give a basis of constraint functions in the Lagrangian and Hamiltonian sides. An additional description of constraints is also given considering at the same time compatibility, stability and second-order condition problems. Finally, a classification of the constraints in first and second class is obtained using a cosymplectic geometry setting. Using the second class constraints, a Dirac bracket is introduced, extending the well-known construction by Dirac.

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BibTeXRIS

M. de León, J. Marín-Solano, J. C. Marrero, M. C. Muñoz-Lecanda, N. Román-Roy. 2001-05-10. Singular Lagrangian Systems on Jet Bundles. https://doi.org/10.1002/1521-3978(200203)50%3A2%3C105%3A%3Aaid-prop105%3E3.0.co%3B2-n

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