RESUMEN

It is shown that the difference between an absolute parallelism connection and a GL(4) connection can be expressed as a tensor field w^v_pv under general coordinate transformations which has the property that the quantity e^α _v e_b^pw^v_pv behaves as a connection under Lorentz transformations. The relations between the equations of geodesics, torsion tensors and curvature tensors are considered.