Geodesic
Lie algebroids and mechanics
Archivum mathematicum, Tome 32 (1996) no. 3, pp. 147-162.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give a formulation of certain types of mechanical systems using the structure of groupoid of the tangent and cotangent bundles to the configuration manifold $M$; the set of units is the zero section identified with the manifold $M$. We study the Legendre transformation on Lie algebroids.
Classification : 22E70, 58F05, 58H05, 70F25, 70H03, 70H35
Keywords: Lie groupoid; Lie algebroid; constrained mechanical system; Legendre transformation 
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     author = {Libermann, Paulette},
     title = {Lie algebroids and mechanics},
     journal = {Archivum mathematicum},
     pages = {147--162},
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Libermann, Paulette. Lie algebroids and mechanics. Archivum mathematicum, Tome 32 (1996) no. 3, pp. 147-162. http://geodesic.mathdoc.fr/item/ARM_1996__32_3_a0/