Abstract
The correspondence between constants of motion and symmetries of a singular Langrangian system is studied. It is shown to be a one-to-one correspondence after an appropriate definition of both concepts. The theory is illustrated with an example.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Crampin, M., J. Phys. A. Math. Geb. 16, 3755 (1983).
Crampin, M. and Thompson, G., Math. Proc. Cambridge Philos. Soc. 98, 61 (1985).
Marmo, G. and Mukunda, M., Nuovo Cim. 92B, 1 (1986).
Gotay, M. J., Nester, J. M., and Hinds, G., J. Math. Phys. 19, 2388 (1978).
Cantrijn, F., Cariñena, J. F., Crampin, M., and Ibort, L. A., J. Geom. Phys. 3, 353 (1986).
Cariñena, J. F. and Ibort, L. A., J. Phys. A. Math. Gen. 18, 3335 (1985).
Marmo, G., Saletan, E. J., Simoni, A., and Vitale, B., Dynamical Systems, A Differential Geometric Approach to Symmetry and Reduction, Wiley, Chichester, 1985.
Sarlet, W., Geometrical Structures Related to Second-Order Equations, Proceedings of the Conference on Differential Geometry and its Applications, Brno 1986 (to appear).
Marmo, G. and Saletan, E. J., Nuovo Cim. 40B, 67 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cariñena, J.F., Rañada, M.F. Noether's theorem for singular Lagrangians. Lett Math Phys 15, 305–311 (1988). https://doi.org/10.1007/BF00419588
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00419588