Twistor forms on Kähler manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, p. 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
@article{ASNSP_2003_5_2_4_823_0,
     author = {Moroianu, Andrei and Semmelmann, Uwe},
     title = {Twistor forms on K\"ahler manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 5, 2},
     number = {4},
     year = {2003},
     pages = {823-845},
     zbl = {1121.53050},
     mrnumber = {2040645},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2003_5_2_4_823_0}
}
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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