Slant helices: a new approximation

Abstract

In this paper, we study a weaker version of classic slant helices in Euclidean space $R^3$ or Minkowski space $R_1^3$, which will be called general slant helices. We show that any classic slant helix is a general slant helix but the converseis not true. We also obtain equations involving the curvature and torsion that characterize this family of curves