Conformal Killing p-forms are a generalization of conformal Killing vector fields on semi-Riemannian manifolds. In this talk we review some known properties of conformal Killing p-forms. We describe existence results for Riemannian manifolds obtained by Semmelmann. Among them is a sharp upper bound for the dimension of the space of conformal Killing p-forms.
Reference: Uwe Semmelmann, Conformal Killing forms on Riemannian manifolds, Math. Z. 245, no. 3 (2003)