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Zbl 1165.70303
Frigioiu, Camelia
Lagrangian geometrization in mechanics. (English)
[J] Tensor, New Ser. 65, No. 3, 225-233 (2004). ISSN 0040-3504

Summary: One studies the holonomic mechanical systems $\Sigma=(L(x,\dot x),F_i(x,\dot x))$ in which $L(x,\dot x)$ is a regular Lagrangian and $F_i(x,\dot x)$ are the external forces -- by means of the geometry of Lagrangian space $L^2=(M,L(x,\dot x))$ endowed with the canonical semispray determined by $F_i(x,\dot x)$.

MSC 2000:: *70F20 Holonomic systems
53B40 Finsler spaces and generalizations (local)
70G45 Differential-geometric methods
70H03 Lagrange's equations

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Zentralblatt MATH Berlin [Germany]