Curves with constant curvature ratios
Differential Geometry
2007-05-23 v1
Abstract
Curves in for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat torus. For , spherical curves of this kind are also studied and compared with intrinsic helices in the sphere.
Cite
@article{arxiv.math/0412323,
title = {Curves with constant curvature ratios},
author = {J. Monterde},
journal= {arXiv preprint arXiv:math/0412323},
year = {2007}
}