Oeztuerk, UfukMahmood, Ghassan Ali Mahmood2024-09-252024-09-2520241844-95812068-3049https://doi.org/10.46939/J.Sci.Arts-24.1-a16https://hdl.handle.net/20.500.12491/13523In this paper, we introduce a new type of curve called the k-directional Darboux curve. These curves are generated by vector fields that are constructed using the Darboux frame of a given spacelike curve alpha lying on a timelike surface in Minkowski 3-space . We give the relationships between these curves and their curvatures. In particular, we show how k-directional Darboux curves can be used to classify some special curves, such as helices and slant heliceseninfo:eu-repo/semantics/openAccessDirection curvesgeneral helixslant helixDarboux frameMinkowski spaceArticle10.46939/J.Sci.Arts-24.1-a161173184WOS:001241852900016N/A