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Using the fiber bundle M over a manifold B, we define a semi-tensor (pull-back) bundle tB of type (p,q). The present paper is devoted to some results concerning with the vertical and complete lifts of some tensor fields from manifold B to its semi-tensor bundle tB of type (p,q).

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In the conducted study, some theorems have been written by calculatingR h ki j coefficient of H R curvature tensor andS h i j coefficient of H S torsion tensor according to affine connection in tangente bundles of Semi-Riemannian manifold. Besides, H R i j Ricci tensor has been examined and H R i j coefficient has been calculated. Finally, S = H g IH H R IJ scalar curvature has been examined and some theorems have been associated with this.