Slant helices: a new approximation

Authors : Pascual LUCAS, Jose Antonio ORTEGA-YAGUES

Pages : 473-485

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Publication Date : 0000-00-00

Article Type : Research Paper

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