On the transformations group of N − linear connections on the dual bundle of 3 − tangent bundle

Abstract

In the present paper we study the transformations for the coefficients of an N−linear connection on the dual bundle of 3-tangent bundle, T^*3M, by a transformation of nonlinear connections on T^*3M. We prove that the set T of these transformations together with the composition of mappings isn’t a group, but we give some groups of transformations of T , which keep invariant a part of the components of the local coefficients of an N−linear connection.