Clothoid helices obtained via the Lie-Darboux method
Mathematical Physics
2026-05-26 v2 math.MP
Abstract
The clothoid helices that have both curvature and torsion directly proportional to the arclength are obtained via the Lie-Darboux method and analyzed in some detail. Shifted counterparts are also introduced and studied within the same framework.
Cite
@article{arxiv.2604.06577,
title = {Clothoid helices obtained via the Lie-Darboux method},
author = {H. C. Rosu and J. de la Cruz and P. Lemus-Basilio},
journal= {arXiv preprint arXiv:2604.06577},
year = {2026}
}
Comments
8 pages, 6 figures, 12 references, misprints corrected and style improved