Karakus, FatmaYayli, Yusuf2025-03-232025-03-2320150219-88781793-6977https://doi.org/10.1142/S0219887815500024https://hdl.handle.net/11486/5198In this study, Fermi derivative and according to the derivative Fermi parallelism and non-rotating frame concepts are given on any hypersurface in En+1. Initially, Fermi derivative and non-rotating concepts are analyzed on any hypersurface in E-4. As an example, S-3 is taken instead of the hypersurface in E-4. Fermi derivative and non-rotating concepts are examined for S-3. Then a correlation is found between Fermi derivative and Levi-Civita derivative of any vector field in E-4. And then the concepts of Fermi derivative are generalized for n > 4 in En+1.eninfo:eu-repo/semantics/closedAccessFermi derivativeFermi parallelismnon-rotating framehypersurfaceLevi-Civita connectionLevi-Civita parallelFrenet frameDarboux frameW-curvecurvaturetorsionArticle12110.1142/S02198878155000242-s2.0-84945445130Q2WOS:000346973100002Q2