Knots of Constant Curvature
Geometric Topology
2007-05-23 v1
Abstract
In this paper we show how to realize all knot (and link) types as C^{2} smooth curves of constant curvature. Our proof is constructive: we build the knots with copies of a fixed finite number of "building blocks" that are particular segments of helices and circles. We use these building blocks to construct all closed braids.
Keywords
Cite
@article{arxiv.math/0403089,
title = {Knots of Constant Curvature},
author = {Jenelle Marie McAtee},
journal= {arXiv preprint arXiv:math/0403089},
year = {2007}
}