Energy of the Fermi-Walker Derivatives of Magnetic Curves According to the Bishop Frame in the Space

Abstract

Fermi-Walker derivative and the energy of magnetic curves have an important place in physics and differential geometry. In this study, we calculate the Fermi-Walker derivatives of T, N1, N2 magnetic curves according to the Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the Bishop frame in space. Finally, we have energy relations of some vector fields associated with Bishop frame in the space.

Quasi Focal Curves of Adjoint Curves of Timelike Curves in 3d Minkowski Space

“…The operation of this special curves is seen in nature, computer aided design, mechanic tools and computer graphics etc. [27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Smarandache Π1b Curves of Biharmonic New Type Constant Π2 - Slope Curves According to Type-2 Bishop Frame in the Sol Space

“…Bishop frame is defined an alternative or parallel frame of curves [15][16][17][18][19][20][21][22][23][24][25][26][27]. Also, Bishop frame has fascinated attention of researchers from time-to-time and it has been utilized in diverse papers [27][28][29][30][31][32][33][34][35][36]. A new version of Bishop frame with the help of a common field using binormal vector field of a regular curve is declared and this new frame is called as " Type-2 Bishop frame" .…”