Partner Curves in Three Dimensional Degenerated Space Form

Using elementary and effective methods we study cone curves and their associated curves or partner curves in the three dimensional lightlike cone ³, which is called three dimensional degenerated space form of the four dimensional Minkowski space ⁴₁. We define the associated curve of the cone curve and also partner curves of some special curves, such as a Bertrand curve and a Mannheim curve. We consider the properties and relations of a curve and its associated curve or partner curve. Some geometric characterizations of these curves are also given.