Miron, R.; Balan, V.; Stavrinos, P. C.; Tsagas, Gr. Deviations of stationary curves in the bundle \(Osc^{(2)}(M)\). (English) Zbl 0902.53018 Balkan J. Geom. Appl. 2, No. 1, 51-60 (1997). 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. Reviewer: M.Anastasiei (Iaşi) Cited in 1 Review MSC: 53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics) 53C22 Geodesics in global differential geometry Keywords:osculator bundle; \(N\)-linear connections; stationary curves Citations:Zbl 0877.53001 PDFBibTeX XMLCite \textit{R. Miron} et al., Balkan J. Geom. Appl. 2, No. 1, 51--60 (1997; Zbl 0902.53018) Full Text: EuDML EMIS