A Concrete Variant of the Twistor Theorem

Laura Fredrickson; Max Zimet

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arXiv · 2501.00505

A Concrete Variant of the Twistor Theorem

Laura Fredrickson·Max Zimet

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Abstract

In this note, we prove a concrete variant of the twistor theorem of Hitchin--Karlhede--Lindstr\"om--Ro\v{c}ek which applies when one already has the real manifold on which one wishes to construct a hyper-K\"ahler structure, and so one does not need to construct it as a parameter space of twistor lines.

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Laura Fredrickson, Max Zimet. 2024-12-31. A Concrete Variant of the Twistor Theorem. https://arxiv.org/abs/2501.00505

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