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In the present paper we study the transformations for the coefficients of an N−linear connection on dual bundle of k−tangent bundle, T^*kM, by a transformation of a nonlinear connection on T^*kM. 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 components of the local coefficients of an N−linear connection.

Mathematics Subject Classification (2010): 53B05.

Keywords: Dual bundle of k−tangent bundle, nonlinear connection, N-linear connection, transformations group, subgroup.