A Concrete Variant of the Twistor Theorem

Fuente: arXiv
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Autori principali: Fredrickson, Laura, Zimet, Max
Natura: Preprint
Pubblicazione: 2024
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author Fredrickson, Laura
Zimet, Max
author_facet Fredrickson, Laura
Zimet, Max
contents In this note, we prove a concrete variant of the twistor theorem of Hitchin--Karlhede--Lindström--Roček which applies when one already has the real manifold on which one wishes to construct a hyper-Kähler structure, and so one does not need to construct it as a parameter space of twistor lines.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00505
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Concrete Variant of the Twistor Theorem
Fredrickson, Laura
Zimet, Max
Differential Geometry
In this note, we prove a concrete variant of the twistor theorem of Hitchin--Karlhede--Lindström--Roček which applies when one already has the real manifold on which one wishes to construct a hyper-Kähler structure, and so one does not need to construct it as a parameter space of twistor lines.
title A Concrete Variant of the Twistor Theorem
topic Differential Geometry
url https://arxiv.org/abs/2501.00505