INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.11, sa.2, ss.61-70, 2018 (ESCI)
In this paper, we obtain some findings for a non-null curve parameterized by spherical arc length. We investigate the relationship between a non-null curve with p-shape curvatures and pseudo-spherical curves on S-1(2) and H-2(-1). We introduce the concept of similar helix in Minkowski 3-space E-1(3). Besides, we explicitly determine the parametrizations of all non-lightlike self-similar curves by using the pseudo-spherical curves in E-1(3).