On a Modification of the Twistor Space
Differential Geometry
2026-01-21 v1
Abstract
In the paper we construct a modification of the twistor space of a K\"ahler scalar flat surface and study its complex-geometric and metric properties. In particular, we construct complete balanced metrics on and show that can not be K\"ahler when is a compact simple hyperk\"ahler manifold.
Keywords
Cite
@article{arxiv.2601.12372,
title = {On a Modification of the Twistor Space},
author = {Anna Fino and Gueo Grantcharov and Alberto Pipitone Federico},
journal= {arXiv preprint arXiv:2601.12372},
year = {2026}
}