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A Concrete Variant of the Twistor Theorem

Differential Geometry 2025-01-03 v1

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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Cite

@article{arxiv.2501.00505,
  title  = {A Concrete Variant of the Twistor Theorem},
  author = {Laura Fredrickson and Max Zimet},
  journal= {arXiv preprint arXiv:2501.00505},
  year   = {2025}
}

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17 pages