Abstract
In this paper, firstly Nk -timelike (spacelike) slant helix in 3- dimensional Minkowski space is given by using an alternative coordinate frame which is obtained with the help of principal direction curves to Frenet frame {T, N, B}. Secondly, the axis of slant helix according to different conditions of curves is obtained. Lastly, curves of Nk -timelike (spacelike) constant precession which is a subfamily of Nk -slant helix are introduced.
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