On generalized Cauchy-Riemann equations on manifolds
Bureš, Jarolím, Souček, Vladimír
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Bureš, Jarolím, Souček, Vladimír
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Francesco Ricci (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Andrei Moroianu, Uwe Semmelmann (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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...