On metrical N-linear connections on the k-Osculator bundle

Abstract

In the present paper we determine the transformations for the coefficients of an N-linear connection on the k-osculator bundle, (k≥ 2, k∈ N), by a transformation of N-linear connections. We also determine the set of all merical N-linear connection corresponding to the same nonlinear connection N in the k-osculator bundle, and give some particular cases.