  Using a generalised Killing-Yano equation in the presence of torsion,
spacetime metrics admitting a rank-2 generalised Killing-Yano tensor are
investigated in five dimensions under the assumption that its eigenvector
associated with the zero eigenvalue is a Killing vector field. It is shown that
such metrics are classified into three types and the corresponding local
expressions are given explicitly. It is also shown that they cover some classes
of charged, rotating Kaluza-Klein black hole solutions of minimal supergravity
and abelian heterotic supergravity.
