Closed Constant Curvature Space Curves
Differential Geometry
2020-04-23 v1
Abstract
We use ODEs and symmetry arguments to construct closed constant curvature space curves, first on cylinders, next on tori, at last with the Frenet-Serret equations.
Keywords
Cite
@article{arxiv.2004.10284,
title = {Closed Constant Curvature Space Curves},
author = {Hermann Karcher},
journal= {arXiv preprint arXiv:2004.10284},
year = {2020}
}
Comments
7 pages with 8 figures. Earlier examples were pieced together from circle segments and helix segments