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Lifts from a Lagrange manifold to its contangent bundle. (English) Zbl 1247.70033
The author gives a survey on lifts from a Lagrangian manifold to its cotangent bundle. From the abstract: “We obtain the image on the cotangent bundle of the basic tensor fields (i.e. functions, vector fields and 1-forms) on the tangent bundle of a Lagrange manifold which is obtained by vertical, complete and horizontal lifts under the Legendre transformation.”
##### MSC:
 70G45 Differential-geometric methods for dynamical systems 70H03 Lagrange’s equations
##### Keywords:
Differential-geometric methods; Lagrange equation