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    STUDIA MATHEMATICA - Issue no. 2 / 2007  
         
  Article:   ON THE INTEGRABILITY OF A SYMPLECTIC STRUCTURE ON TANGENT BUNDLE.

Authors:  MONICA PURCARU.
 
       
         
  Abstract:  

In this paper we determine the set of all semi-symmetric metrical d-linear connections for a fixed nonlinear connection. We consider the group: msTN of transformations of semi-symmetric metrical d-linear connections on TM, having the same nonlinear connection N and we give some important invariants. We study the 2-forms on TM and we define the integrability of a 2-form. We study the integrability of an almost symplectic d-structure on TM.

 
         
     
         
         
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