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首页> 外文期刊>studia universitatis babes-bolyai mathematica >ON THE TRANSFORMATIONS OF N-LINEAR CONNECTIONS IN THE k-OSCULATOR BUNDLE
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ON THE TRANSFORMATIONS OF N-LINEAR CONNECTIONS IN THE k-OSCULATOR BUNDLE

机译：ON THE TRANSFORMATIONS OF N-LINEAR CONNECTIONS IN THE k-OSCULATOR BUNDLE

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摘要

In the present paper we determine the transformations for the coefficients of an N-linear connection on Osc 2 M, Osc 3 M, Osc 4 M,..., Osc(k) M, (k >= 2, k is an element of N) by a transformation of nonlinear connections. We prove that the set T of the transformations of N-linear connections on Osc k M, (k >= 2, k is an element of N), together with the composition of mappings isn't a group, but we give some groups which keep invariant a part of components of the local coefficients of an N-linear connection.

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