2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57308The displacement and deviation vectors in spaces (manifolds), the tangent bundle of which is endowed with a transport along paths, are introduced. In case these spaces are equipped with a linear connection, the deviation equations (between arbitrary, geodesic or not, paths) in such spaces are investigated.16 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozhoMathematical PhysicsGeneral Relativity and Quantum CosmologyDifferential Geometry53B99 (Primary) 53Z05, 83C99 (Secondary)text