Ozdemir, ZehraAtes, FatmaEkmekci, F. Nejat2024-02-232024-02-2320221307-5624https://doi.org/10.36890/IEJG.993188https://hdl.handle.net/20.500.12452/16010The theory of Finsler metric was introduced by Paul Finsler, in 1918. The author defines this metric using the Minkowski norm instead of the inner product. Therefore, this geometry is a more general metric and includes the Riemannian metric. In the present work, using the Finsler metric, we investigate the position vector of the rectifying, normal and osculating curves in Finslerian 3-space F-3. We obtain the general characterizations of these curves in F-3. Furthermore, we show that rectifying curves are extremal curves derived from the Finslerian spherical curve. We also plotted various examples by using the Randers metrics.eninfo:eu-repo/semantics/openAccessSpecial CurvesFinsler SpaceRanders MetricCentrodesExtremal CurvesArticle15130382-s2.0-85129808520Q3WOS:00079558520000410.36890/IEJG.993188