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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.22253 |
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Table of Contents:
- This is a survey of the twistor lifts of surfaces in $4$-dimensional spaces. In most part of this survey, the space is Euclidean $4$-space $E^4$. The definitions of the Gauss maps and the twistor lifts of surfaces in $E^4$ are given by orthogonal complex structures of $E^4$. Based on these definitions, we can understand holomorphicity of the Gauss maps of minimal surfaces in $E^4$ and isotropicity of such surfaces.