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This is the appendix of the paper [T. Arias-Marco, Constant Jacobi osculatingrank of $U(3)/(U(1) \times U(1) \times U(1))$, Arch. Math. (Brno) 45 (2009),241--254] where we obtain an interesting relation between the covariantderivatives of the Jacobi operator valid for all geodesic on the flag manifold$M^6=U(3)/(U(1) \times U(1) \times U(1))$. As a consequence, an explicitexpression of the Jacobi operator independent of the geodesic can be obtainedon such a manifold. Moreover, we show the way to calculate the Jacobi vectorfields on this manifold by a new formula valid on every g.o. space.

Constant Jacobi osculating rank of $U(3)/(U(1) \times U(1) \times U(1))$ - Appendix -