Karakus, FatmaYayli, Yusuf2025-03-232025-03-2320170188-70091661-4909https://doi.org/10.1007/s00006-016-0719-1https://hdl.handle.net/11486/7018In this study Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame, Fermi-Walker terms Darboux vector concepts are given for Minkowski 3-space . First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space . Fermi-Walker derivative and Fermi-Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space and the necessary conditions to be Fermi-Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi-Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space Fermi-Walker derivative is analyzed for any timelike curves.eninfo:eu-repo/semantics/closedAccessFermi-Walker derivativeFermi-Walker parallelismNon-rotating frameSpacelike curveTimelike curveFrenet frameDarboux vectorArticle2721353136810.1007/s00006-016-0719-12-s2.0-84982176816Q3WOS:000401669000030Q2