Twistor forms on Kähler manifolds

• Andrei Moroianu ^[1] ; Uwe Semmelmann ^[2]
  1. [1] École Polytechnique

     École Polytechnique

     Arrondissement de Palaiseau, Francia

     
  2. [2] University of Hamburg

     University of Hamburg

     Hamburg, Freie und Hansestadt, Alemania

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 2, Nº 4, 2003, págs. 823-845
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.