  On a (pseudo-) Riemannian manifold of dimension n > 2, the space of tensors
which transform covariantly under Weyl rescalings of the metric is built. This
construction is related to a Weyl-covariant operator D whose commutator [D,D]
gives the conformally invariant Weyl tensor plus the Cotton tensor. So-called
generalized connections and their transformation laws under diffeomorphisms and
Weyl rescalings are also derived. These results are obtained by application of
BRST techniques.
