Generalized fermi derivative on the hypersurfaces

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MANAS Journal of Engineering
Volume:10 Issue:1
Generalized fermi derivative on the hypersurfaces

Generalized fermi derivative on the hypersurfaces

Authors : Ayşenur UÇAR, Fatma KARAKUŞ

Pages : 110-115

Doi:10.51354/mjen.937100

View : 38 | Download : 7

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :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.
Keywords : generalized Fermi derivative, generalized Fermi parallelism, generalized non rotating frame, Fermi frame, tangent space

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