A Concrete Variant of the Twistor Theorem

Abstract

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.

arXiv comment17 pages