Ucar, AysenurKarakus, FatmaYayli, Yusuf2025-03-232025-03-2320170219-88781793-6977https://doi.org/10.1142/S0219887817501316https://hdl.handle.net/11486/5197In this paper, generalized Fermi-Walker derivative, generalized Fermi-Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space. Being generalized, non-rotating frame conditions are analyzed for each frames along the curve. Then we show that Frenet and Darboux frames are generalized non-rotating frames along all curves and also Bishop frame is generalized non-rotating frame along planar curves in Euclidean space.eninfo:eu-repo/semantics/closedAccessGeneralized Fermi-Walker derivativegeneralized Fermi-Walker parallelismgeneralized non-rotating frameFrenet frameDarboux frameBishop frameArticle14910.1142/S02198878175013162-s2.0-85020172123Q2WOS:000407101600016Q2