The twistor lifts of surfaces in 4-spaces
Differential Geometry
2026-01-06 v3
Abstract
This is a survey of the twistor lifts of surfaces in -dimensional spaces. In most part of this survey, the space is Euclidean -space . The definitions of the Gauss maps and the twistor lifts of surfaces in are given by orthogonal complex structures of . Based on these definitions, we can understand holomorphicity of the Gauss maps of minimal surfaces in and isotropicity of such surfaces.
Keywords
Cite
@article{arxiv.2509.22253,
title = {The twistor lifts of surfaces in 4-spaces},
author = {Naoya Ando},
journal= {arXiv preprint arXiv:2509.22253},
year = {2026}
}