We construct an exact differential sequence which indicates certain relations between curvature, local flatness, torsion and simplicity of higher order connections. Our formulas are expressed explicity in terms of the Christoffel symbols of dual \varepsilon-connections.
ORTAÇGİL, E. (1996) "ON A DIFFERENTIAL SEQUENCE IN GEOMETRY," Turkish Journal of Mathematics: Vol. 20: No. 4, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol20/iss4/4