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STUDIA MATHEMATICA - Issue no. 1 / 2007 | |||||||
Article: |
ON THE TRANSFORMATIONS OF N-LINEAR CONNECTIONS IN THE K-OSCULATOR BUNDLE. Authors: MONICA PURCARU, MIRELA TARNOVEANU. |
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Abstract:
In the present paper we determine the transformations for the coefficients of an N-linear connection on Osc2M, Osc3M,Osc4M, ...,OsckM , (k >= 2, k Î N) by a transformation of nonlinear connections. Weprove that the set T of the transformations of N-linear connections onOsc kM, (k >= 2, k Î N) , together with the composition of mappings isn’t agroup, 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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