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

Authors : Bülent Altunkaya, Levent Kula

Pages : 49-56

Doi:10.33401/fujma.412081

View : 20 | Download : 14

Publication Date : 2018-06-30

Article Type : Research

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