Generalized fermi derivative on the hypersurfaces

Year 2022, Volume: 10 Issue: 1, 110 - 115, 30.06.2022

Ayşenur Uçar , Fatma Karakuş

https://doi.org/10.51354/mjen.937100

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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