English

A Characterization of Quintic Helices

Geometric Topology 2007-05-23 v1

Abstract

A polynomial curve of degree 5, α\alpha, is a helix, if and only if both ||\alpha^'|| and ||\alpha^'\wedge \alpha^{''}|| are polynomial functions.

Cite

@article{arxiv.math/0502546,
  title  = {A Characterization of Quintic Helices},
  author = {J. V. Beltran and J. Monterde},
  journal= {arXiv preprint arXiv:math/0502546},
  year   = {2007}
}