  We consider the geometric structures on the moduli space of static finite
energy solutions to the 2+1 dimensional unitary chiral model with the
Wess-Zummino-Witten (WZW) term. It is shown that the magnetic field induced by
the WZW term vanishes when restricted to the moduli spaces constructed from the
Grassmanian embeddings, so that the slowly moving solitons can in some cases be
approximated by a geodesic motion on a space of rational maps from $\CP^1$ to
the Grassmanian.
