Characterizations of slant and spherical helices due to pseudo-Sabban frame

Year 2018, Volume: 1 Issue: 1, 49 - 56, 30.06.2018

Bülent Altunkaya , Levent Kula

https://doi.org/10.33401/fujma.412081

Cited By: 1

Abstract

In this paper, we investigate that under which conditions of the geodesic curvature of unit speed curve $\gamma$ that lies on $S_1^2$ or $H^2,$ the curve $\alpha$ which is obtained by using $\gamma$, is a spherical helix or slant helix in Minkowski 3-space.

Keywords

Geodesic curvature, Sabban frame, Minkowski space, Pseudosphere, Hyperbolic plane, Helix

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