The Fermi–Walker Derivative and Non-rotating Frame in Dual Space

Abstract

In this study, we defined Fermi–Walker derivative in dual space $$\mathbb {D}^3$$ . Fermi–Walker transport, non-rotating frame and Fermi–Walker termed Darboux vector by using Fermi–Walker derivative are given in dual space $$\mathbb {D}^3$$ . Being conditions of Fermi–Walker transport and non-rotating frame are investigated along any dual curve for dual Frenet frame, dual Darboux frame and dual Bishop frame.