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Authors: MONICA PURCARU.
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.