Helices on a Surface in Euclidean 3‐ space

Year 2017, Volume: 13 Issue: 1, 113 - 123, 30.03.2017

Ufuk Özturk , Hilmi Hacısalihoğlu

https://doi.org/10.18466/cbayarfbe.302650

Cited By: 1

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

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