2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67646On the basis of the generalizations of the Jacobi identity found by the author some identities satisfied by the curvature and torsion of a covariant differentiation are derived. A kind of the generalized covariant differentiation is proposed and a method of finding some of satisfied by them identities is given in the correspondence to the curvatures concerned.13 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/Differential GeometryMathematical Physics53C99 (Primary) 53R80, 05A99, 05E99 (Secondary)text