Turkish Journal of Mathematics
DOI
10.3906/mat-1809-16
Abstract
In this paper, we study a weaker version of classic slant helices in Euclidean space $\mathbb{R}^3$ or Minkowski space $\mathbb{R}^3_1$, which will be called general slant helices. We show that any classic slant helix is a general slant helix but the converse is not true. We also obtain equations involving the curvature and torsion that characterize this family of curves.
Keywords
Slant helix, Killing vector field, pseudo-null curve, null curve, Frenet curve
First Page
473
Last Page
485
Recommended Citation
LUCAS, PASCUAL and ORTEGA-YAGUES, JOSE ANTONIO
(2019)
"Slant helices: a new approximation,"
Turkish Journal of Mathematics: Vol. 43:
No.
1, Article 38.
https://doi.org/10.3906/mat-1809-16
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss1/38
