Conformal Killing forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We show the existence of conformal Killing forms on nearly Kaehler and weak G_2-manifolds. Moreover, we give a complete description of special conformal Killing forms. A further result is a sharp upper bound on the dimension of the space of conformal Killing forms.
Twistor Forms on Kaehler Manifolds
Integrability of geodesic flows and isospectrality of Riemannian manifolds
On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds
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