Algebraic classification of the differential curvature form and the gravitational fields

Algebraic classification of the differential curvature form as classification of an antisymmetric matrix by analogy with electromagnetic field tensor is made in a tangent 4D space-time. Also by analogy with Petrov’s algebraic classification of gravitational fields the types of such matrix are entered. Examples with concrete gravitational fields are given: the external field of Scharzschild and the gravitational plane wave.