Twistor forms on Kähler manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, pp. 823-845.

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 Kähler 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 Kähler manifolds with non-parallel twistor forms in any even degree.

Classification : 53C55, 58J50 
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     title = {Twistor forms on {K\"ahler} manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
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     volume = {Ser. 5, 2},
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Moroianu, Andrei; Semmelmann, Uwe. Twistor forms on Kähler manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, pp. 823-845. http://www.numdam.org/item/ASNSP_2003_5_2_4_823_0/

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