PreprintarXiv licencearXiv
Twistor theory of Loxodromes
Abstract
The twistor correspondence provides a duality between curves in S4 and ruled surfaces in ℂℙ3 in which the conformal properties of the former are reflected in the projective properties of the latter. We use this to characterise a $14$--dimensional family of homogeneous ruled surfaces in ℂℙ3 which correspond to loxodromes in S4.
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BibTeX
@misc{dunajski2026twistor,
title = {{Twistor theory of Loxodromes}},
author = {Maciej Dunajski and Wojciech Kryński},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10761},
eprint = {2609.10761},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10761},
}
RIS
TY - UNPB
TI - Twistor theory of Loxodromes
AU - Maciej Dunajski
AU - Wojciech Kryński
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10761
UR - https://arxiv.org/abs/2609.10761
AB - The twistor correspondence provides a duality between curves in S^4 and ruled surfaces in ℂℙ^3 in which the conformal properties of the former are reflected in the projective properties of the latter. We use this to characterise a $14$--dimensional family of homogeneous ruled surfaces in ℂℙ^3 which correspond to loxodromes in S^4.
ER -