  In this paper we discuss the construction of conserved tensors (currents)
involving conformal Killing-Yano tensors (CKYTs), generalising the
corresponding constructions for Killing-Yano tensors (KYTs). As a useful
preparation for this, but also of intrinsic interest, we derive identities
relating CKYTs and geometric quantities. The behaviour of CKYTs under conformal
transformations is also given, correcting formulae in the literature. We then
use the identities derived to construct covariantly conserved ``currents''. We
find several new CKYT currents and also include a known one by Penrose which
shows that ``trivial'' currents are also useful. We further find that rank-$n$
currents based on rank-$n$ CKYTs $k$ must have a simple form in terms of $dk$.
By construction, these currents are covariant under a general conformal
rescaling of the metric. How currents lead to conserved charges is then
illustrated using the Kerr-Newman and the C-metric in four dimensions.
Separately, we study a rank-1 current, construct its charge and discuss its
relation to the recently constructed Cotton current for the Kerr-Newman black
hole.
