Cartan's method of equivalence and second-order equation fields
- 11 November 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (16) , L1009-L1015
- https://doi.org/10.1088/0305-4470/18/16/003
Abstract
The theory underlying Cartan's method of equivalence is outlined and applied to second-order equation fields. In particular, the technique is used to obtain the canonical horizontal distribution associated to a second-order equation field-a construction which has been presented before but in a rather ad hoc manner.Keywords
This publication has 5 references indexed in Scilit:
- A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamicsJournal of Physics A: General Physics, 1984
- Tangent bundle geometry Lagrangian dynamicsJournal of Physics A: General Physics, 1983
- Toward a classification of dynamical symmetries in classical mechanicsBulletin of the Australian Mathematical Society, 1983
- On the differential geometry of the Euler-Lagrange equations, and the inverse problem of Lagrangian dynamicsJournal of Physics A: General Physics, 1981
- Constants of the motion in lagrangian mechanicsInternational Journal of Theoretical Physics, 1977