The Fermi-Walker Derivative in Galilean Space
Tevfik \c{S}ahin, Fatma Karaku\c{s}, Keziban Orbay
TL;DR
This paper introduces the Fermi-Walker derivative in Galilean space, exploring its properties and conditions for transport and non-rotating frames along curves using Frenet and Darboux frames.
Contribution
It defines the Fermi-Walker derivative in Galilean space and investigates transport conditions for Frenet and Darboux frames.
Findings
Fermi-Walker transport conditions are established in Galilean space.
Non-rotating frames are characterized using the Fermi-Walker derivative.
Transport conditions are analyzed along curves with different frames.
Abstract
In this study, we defined Fermi-Walker derivative in Galilean space . Fermi-Walker transport and non-rotating frame by using Fermi- Walker derivative are given in . Being conditions of Fermi-Walker transport and non-rotating frame are investigated along any curve for Frenet frame and Darboux frame.
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Taxonomy
TopicsMagnetism in coordination complexes · Black Holes and Theoretical Physics · Spectral Theory in Mathematical Physics