On the spacelike salkowski curve with timelike principal normal in 3-dimensional lorentzian space

In the Introduction part of this thesis, the purpose of the study, its place in technology, application areas and other studies in this field are given. In the Preliminaries section, the basic concepts that will be used in the Findings section are mentioned in detail. In the Materials and Methods section, the information about the timelike prime normal spacelike Salkowski curve in 3-dimensional Lorentz space, which is the main subject of the study is given. The Findings section is the original part of the study. In this section, firstly, the arc length and Darboux vector of the timelike principal normal spacelike Salkowski curve in Lorentzian 3-space are calculated. Then, the Frenet frames, the curvatures, the Frenet derivative formulas, the Darboux vectors, the arc lengths and the geodesic curvatures according to , (hyperbolic unit sphere) and (Lorentzian unit sphere) of the spherical indicatrix curves of this curve are calculated. In addition, the graphs of these spherical indicatrix curves on these spheres are drawn. In the Conclusion and Suggestions section, the results obtained from this study and the suggestions about new studies that can be done are given. Keywords: Frenet frames, Geodesic curvature, Salkowski curve, Spherical indicatrix curves.