A study on null cartan curve in Minkowski 3-space

Abstract

Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW (k) – type and AW (k) – type null cartan curve in Minkowski 3-space E13E_1^3 . We define helix according to Bishop frame in E13E_1^3 . Furthermore, the necessary and sufficient conditions for the helices in Minkowski 3-space are obtained.

Keywords

• null cartan curve
• aw(k)-type curve
• helix
• 53c08