  We consider the possibility of deriving a decoupled equation in terms of Weyl
tensor components for gravitational perturbations of the
Schwarzschild-Tangherlini solution. We find a particular gauge invariant
component of the Weyl tensor does decouple and argue that this corresponds to
the vector modes of Ishibashi and Kodama. Also, we construct a Hertz potential
map for solutions of the electromagnetic and gravitational perturbation
equations of a higher dimensional Kundt background using the decoupled equation
of Durkee and Reall. Motivated by recent work of Guica and Strominger, we use
this to construct the asymptotic behaviour of metric perturbations of the
near-horizon geometry of the 5d cohomogeneity-1 Myers-Perry black hole.
