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Deviations of stationary curves in the bundle \(Osc^{(2)}(M)\). (English) Zbl 0902.53018

Lagrange geometry of higher order is the study of Lagrange spaces \(L^{(k)n} = (M,L)\), where \(L\) is a regular Lagrangian of order \(k \geq 1\) [see R. Miron, ‘The geometry of higher-order Lagrange spaces’ (Fundamental Theories of Physics 82, Kluwer, Dordrecht) (1997; Zbl 0877.53001)].
The authors establish the equations of stationary curves and of their deviations for \(k = 2\). Some particular cases are considered.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53C22 Geodesics in global differential geometry

Citations:

Zbl 0877.53001
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