Some characterizations of AW(k)-type curves

In curve theory, we can obtain alot of special curves by using Frenet frame. In this thesis, we examined AW(k)-type curves, heix and slant helices. AW(k)-type curves have been studied by many mathematicians. Özgür and Gezgin have studied AW(k)-type curves in E³ [7]. Külahcı, Bektaş and Ergüt have studied harmonic curvatures of null curves of the AW(k)-type curves in Lorentzian space [9]..Kula and Et Al gave the characterizations of slant helices in Euclidean 3-space [8]. Yıldırım Yılmaz and Et Al studied slant helix in Riemann-otsuki space [10]. Ahmad gave general helices in Euclidean 3-space [13]. In this thesis, we studied AW(k)-type curves of Pseudo null and Null cartan curves in Minkowski 3-space E₁³. Furthermore, we defined helix and slant helix according to Bishop frame in E₁³. Additionally, we gave some necessary and sufficient conditions for the slant helix and helix in Minkowski 3-space.