Mihriban Külahcı

On harmonic curvatures of null curves of the AW(k)-type in Lorentzian space

We investigate null curves of the AW(k)-type (1 ≤ k ≤ 3) in the 3-dimensional Lorentzian space, L3, and give curvature conditions of these curves by using the Cartan frame. Moreover, we study harmonic curvatures of curves of AW(k)-type and show that if the α Frenet curve is of type AW(1), then α is a null helix.

The classifications of quaternionic osculating curves in ℚ4

Abstract In this work, we define a quaternionic osculating curves and give the conditions for curves to be osculating with the help of curvature functions.