A geometric characterisation of Lagrangian second-order differential equations
- 1 October 1989
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 5 (5) , 691-705
- https://doi.org/10.1088/0266-5611/5/5/003
Abstract
The authors introduce a set of 1-forms M*Gamma =( alpha epsilon Lambda 1(TM):S*(LGamma alpha )=0), related to a second-order differential equation field Gamma , in order to find geometric conditions for this vector field to be a solution of the dynamics defined by a Lagrangian function. The results they get are compared with those of other previous approaches.Keywords
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