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

Abstract

In this study, we defined Fermi-Walker derivative in dual space D-3. Fermi-Walker transport, non-rotating frame and Fermi-Walker termed Darboux vector by using Fermi-Walker derivative are given in dual space 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.