Slant helices: a new approximation
Authors : Pascual Lucas, Jose Antonio Ortega-yagues
Pages : 473-485
View : 10 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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