k−type Slant Helices for Modified Orthogonal Saban Frame on \(S^2_1\) and \(H^2_0\)
Mehmet Bekta *
Department of Mathematics, Faculty of Sciences, Firat University 23119 Elazig, Turkiye.
Kubra Bulut Baykara
Department of Mathematics, Institute of Science, Firat University, 23119 Elazig, Turkiye.
*Author to whom correspondence should be addressed.
Abstract
This article examines slant helices for modified orthogonal Saban frames on timelike and spacelike curves with geodesic curvature on \(S^2_1\) and hyperbolic curves with geodesic curvature on \(H^2_0\) . In particular, it presents statements and proofs of novel theories for k−type slant helices.
Keywords: Saban frame, k− type slant helices, hyperbolic curves, curve theory, geometry