On the $k$-Semispray of Nonlinear Connections in $k$-Tangent Bundle Geometry

Abstract

In this paper we present a method by which is obtained a sequence of $k$-semisprays and two sequences of nonlinear connections on the $k$-tangent bundle $T^{k}M$, starting from a given one. Interesting particular cases appear for Lagrange and Finsler spaces of order $k$.

arXiv comment12 pages