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    STUDIA MATHEMATICA - Issue no. 1 / 2008  
         
  Article:   SOME RESULTS ON TRANSFORMATIONS GROUPS OF N-LINEAR CONNECTIONS IN THE 2-TANGENT BUNDLE.

Authors:  GH. ATANASIU, MONICA PURCARU. 		 
       
         
  Abstract:   In the present paper we study the transformations for the coefficientsof an N-linear connection (definition 1.1) on the tangent bundleof order two, T2M, by a transformation of a nonlinear connection in T2M.We prove that the set T of these transformations together with compositionof mappings isn’t a group. But we give some groups of T , whichkeep invariant a part of components of the local coefficients of an N-linearconnection. We also determine the transformation laws of the torsion andcurvature tensor fields, with respect to the transformations of the groupTN CT .  
         
     
         
         
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