  We provide necessary and sufficient conditions for a curvature map $S\colon
U\longrightarrow K(\mathfrak{g})$ to arise from the curvature tensor of a
torsion-free connection on a sufficiently small $U'\subset U$ by using a
suitable power series approach. This torsion-free connection is uniquely given.
The curvature map $S$ is used to effectively compute the holonomy of this
connection.
