Some Results on p-Shape Curvatures of Non-Lightlike Space Curves

Abstract

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 pseudospherical curves on S 2 1 and H 2 (−1). We introduce the concept of similar helix in Minkowski 3-space E 3 1. Besides, we explicitly determine the parametrizations of all non-lightlike self-similar curves by using the pseudo-spherical curves in E 3 1 .