  A recent result of M. Kourganoff states that if $D$ is a closed, reducible,
non-flat, Weyl connection on a compact conformal manifold $M$, then the
universal covering of $M$, endowed with the metric whose Levi-Civita covariant
derivative is the pull-back of $D$, is isometric to $\mathbb{R}^q\times N$ for
some irreducible, incomplete Riemannian manifold $N$. Moreover, he
characterized the case where the dimension of $N$ is $2$ by showing that $M$ is
then a mapping torus of some Anosov diffeomorphism of $T^{q+1}$. We show that
in this case one necessarily has $q=1$ or $q=2$.
