Yazar "Ucar, Aysenur" seçeneğine göre listele

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    Öğe
    Generalized fermi derivative on the hypersurfaces
    (2022) Ucar, Aysenur; Karakuş, Fatma
    In this paper, generalized Fermi derivative, generalized Fermi parallelism, and generalized non-rotating frame concepts are given along any curve on any hypersurface in Eⁿ⁺¹ Euclidean space. The generalized Fermi derivative of a vector field and being generalized non-rotating conditions are analyzed along the curve on the surface in Euclidean 3-space. Then a correlation is found between generalized Fermi derivative, Fermi derivative, and Levi-Civita derivative in E³. Then we examine generalized Fermi parallel vector fields and conditions of being generalized non-rotating frame with the tensor field in E⁴. Generalizations have been made in Eⁿ.
  • [ X ]
    Öğe
    Generalized Fermi-Walker derivative and non-rotating frame
    (World Scientific Publ Co Pte Ltd, 2017) Ucar, Aysenur; Karakus, Fatma; Yayli, Yusuf
    In 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.