New Version of Fermi-Walker Derivatives According to the Type-2 Bishop Frame With Energy

Abstract

In this paper, we obtain the Fermi-Walker derivatives of , , magnetic curves according to the type-2 Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the type-2 Bishop frame in space. Finally, we have energy relations of some vector fields associated with type-2 Bishop frame in the space.

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].…”

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

“…On the other hand, several methods in the research of magnetic curves for a given magnetic field on the constant energy level have been invesitgated by Muntenau in [1]. Also, many researchers have identified energy related studies using different methods [13][14][15][16][17][18][19][20][21].…”