2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73436The linear transports along paths in vector bundles introduced in Ref. [1] are applied to the special case of tensor bundles over a given differentiable manifold. Links with the transports along paths generated by derivations of tensor algebras are investigated. A possible generalization of the theory of geodesics is proposed when the parallel transport generated by a linear connection is replaced with an arbitrary linear transport along paths in the tangent bundle.16 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/Differential GeometryGeneral Relativity and Quantum CosmologyMathematical Physics53C99 (Primary) 53B99, 57R35 (Secondary)text