2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186925A treatment in a neighborhood and at a point of the equivalence principle on the basis of derivations of the tensor algebra over a manifold is given. Necessary and sufficient conditions are given for the existence of local bases, called normal frames, in which the components of derivations vanish in a neighborhood or at a point. These frames (bases), if any, are explicitly described and the problem of their holonomicity is considered. In particular, the obtained results concern symmetric as well as nonsymmetric linear connections.LaTeX2e, 9 pages, to be published in Journal of Physics A: Mathematical and GeneralGeneral Relativity and Quantum CosmologyDifferential Geometrytext