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arXiv · 1502.06420

(Pluri)harmonic morphisms and the Penrose-Ward transform

Radu Pantilie
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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 $\rho$-quaternionic manifolds and their twistor spaces. We apply this fact, together with the Penrose transform, to obtain existence results for hypercomplex manifolds and for harmonic morphisms from hyper-Kaehler manifolds.

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Radu Pantilie. 2015-02-23. (Pluri)harmonic morphisms and the Penrose-Ward transform. https://arxiv.org/abs/1502.06420

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