On the Assocıated Curves of a Frenet Curve in 𝑹𝟏 𝟒

Abstract

In the present work, we have dealt with the properties of associated curves of a Frenet curve in 𝑅􀬵 􀬸. In addition to this, we define principal direction curve, 𝐵􀬵 −direction curve, 𝐵􀬶 − direction curve of a given Frenet curve by using integral curves of 4-dimensional Minkowski space. Then we introduce some characterizations for general helix and slant helix. Finally, some new associated curves and theorems obtained for space-like curves and time- like curves in 𝑅􀬵 􀬸. Also, an example is given.