Twistor Forms on Kaehler Manifolds

Abstract

Twistor 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 study twistor forms on compact Kaehler manifolds and give a complete description up to special forms in the middle dimension. In particular, we show that they are closely related to Hamiltonian 2-forms. This provides the first examples of compact Kaehler manifolds with non-parallel twistor forms in any even degree.

20 pages, latex2e

References in corpus (2)

• Dirac symmetry operators from conformal Killing-Yano tensors
• Conformal Killing forms on Riemannian manifolds