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The generalized Lagrangian mechanical systems. (English) Zbl 1278.53028
In the present paper the author introduces a mechanical system, called generalized Lagrangian Mechanical System, as an extension of Riemannian, Finslerian and Lagrangian mechanical system, which is a triple formed by a real \(n\)-dimensional manifold, the generalized kinetic energy and the external forces.
MSC:
53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
53B50 Applications of local differential geometry to the sciences
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