Characterizations of slant helices in Euclidean 3-space

Authors

LEVENT KULA
NEJAT EKMEKCİ
YUSUF YAYLI
KAZIM İLARSLAN

Abstract

In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a space curve to be a slant helix. Also, we obtain the slant helix equations and its Frenet aparatus.

DOI

10.3906/mat-0809-17

Keywords

Slant helix, genaral helix, spherical helix, tangent indicatrix, principal normal indicatrix and binormal indicatrix.

First Page

261

Last Page

274

Recommended Citation

KULA, L, EKMEKCİ, N, YAYLI, Y, & İLARSLAN, K (2010). Characterizations of slant helices in Euclidean 3-space. Turkish Journal of Mathematics 34 (2): 261-274. https://doi.org/10.3906/mat-0809-17