ON CURVES OF N-k-SLANT HELIX AND N-k-CONSTANT PRECESSION IN MINKOWSKI 3-SPACE

In this paper, firstly N-k-timelike (spacelike) slant helix in 3-dimensional Minkowski space E(1)(3)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 N-k-timelike (spacelike) constant precession which is a subfamily of N-k-slant helix are introduced.