Natural \(2\)-\(\pi\) structures in Lagrange spaces of higher order. (Q700289)

\(2\)-\(\pi\) structures are a particular case of the \(r\)-\(\pi\) structures introduced by \textit{C.J. Hsu} [Tôhoku Math. J. (2) 12, 429-454 (1960; Zbl 0095.36802)] as a generalization of almost complex and almost product structures. In the present paper the author extends to higher order Finsler spaces and to higher order Lagrange spaces his previous studies on the geometry of \(2\)-\(\pi\) structures on the tangent bundle or on the bundle of accelerations of a differentiable manifold.