Normal Fermi- Walker Derivative

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Mathematical Sciences and Applications E-Notes
Volume:5 Issue:1
Normal Fermi- Walker Derivative

Normal Fermi- Walker Derivative

Authors : Özgür KESKİN, Yusuf YAYLI

Pages : 1-8

Doi:10.36753/mathenot.421468

View : 32 | Download : 11

Publication Date : 2017-04-30

Article Type : Research Paper

Abstract : In this paper, first, we defined normal Fermi-Walker derivative and applied for adapted frame. Normal Fermi-Walker parallelism, normal non-rotating frame and Darboux vector of normal Fermi-Walker derivative by using normal Fermi-Walker derivative are given for adapted frame. Being conditions of normal Fermi-Walker derivative and normal non-rotating frame are researched throughout curve for Frenet frame and Adapted frame. It is shown that vector field which take part in [13] is normal FermiWalker parallel in accordance with the normal Fermi-Walker derivative along the general helix. Also, we show that the Frenet frame is normal non-rotating frame in accordance with the normal Fermi-Walker derivative. Afterwards, we testified that the adapted frame is normal non-rotating frame throughout the general helix.
Keywords : Frenet frame, Darboux frame, Non rotating frame, Fermi Walker derivative

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