Helices on a Surface in Euclidean 3‐ space

Abstract

In this paper, we define the strip slant helices according to the frame of the strip and introduce some characterizations for strip slant helices using the curvatures of the strip. We also determine the axis of the strip slant helices. Moreover, we investigate some characterizations for the strip slant helices when the curve of the strip is a geodesic curve or an asymptotic curve or a principal curve.

Keywords

• Geodesic curvature,geodesic torsion,helix,normal curvature,strip

References

1. Kula, L.; Yayli, Y. On slant helix and its spherical indicatrix. Appl. Math. Comput. 2005; 169(1), 600—607.