On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space

In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided. In section three, the principal normal directional and donor curves of null curves in Minkowski 4-space are defined and their casual characterizations are also derived. In section four, we define the B_1 directional and donor curves of null curves and show their properties as well. In the last section, the B_2 directional and donor curves of null curves are also defined and their causal characterizations are provided.