Harmonic morphisms and the Penrose–Ward transform
Radu Pantilie
Romanian Academy, Bucharest, Romania
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Abstract
We show that, in quaternionic geometry, the Ward transform is a manifestation of the functoriality of the basic correspondence between the -quaternionic manifolds and their twistor spaces. We apply this fact, together with the Penrose transform, to obtain existence results for quaternionic manifolds and for harmonic morphisms from hyper-Kähler manifolds.
Cite this article
Radu Pantilie, Harmonic morphisms and the Penrose–Ward transform. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 1, pp. 175–194
DOI 10.4171/RLM/841