1.Vertical and complete lifts from manifolds to its tangent bundle. 2.Horizontal lifts from manifolds. 3.Cross-Sections in the tangent bundle. 4.Tangent bundles of riemannan manifolds. 5.Prolongations of G-Structures to tangent bundles. 6.Non-Linear connections in tangent bundles. 7.Vertical and complete lifts from manifolds to its cotangent bundle. 8.Horizontal lifts from manifolds to its cotangent bundles. 9.Tensor fields and connections on cross-section in the cotangent bundle. 10.Prolongations of tensor fields and connections to the tangent bundle of order. 11.Prolongations of tensor, connections and G-Structures to the tangent bundle of higher order.