Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space

Kazan, Ahmet; Karadağ, H. Bayram

doi:10.9734/bjmcs/2017/33330

Cited by 8 publications

(7 citation statements)

References 11 publications

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“…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].…”

Section: Discussionmentioning

confidence: 99%

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

2022

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In this work, we obtain new results by examining the adjoint curve and focal curve, which are examples of associated curves. In particular, we examine the focal curve of the adjoint curve of a timelike curve we have described with quasi-frame ( Q-frame) elements in 3D Minkowski space M1^3. We first characterize the focal curves of adjoint curves by considering the Q-frame in M1^3 . Next, we determine the focal curvatures of this curve. In the last section, we give some results by obtaining the focal curve in M1^3 in terms of principal curve and adjoint curve.

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“…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].…”

Section: Discussionmentioning

confidence: 99%

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

2022

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“…In this section, we give the definitions of 1 ξ , 2 ξ , B magnetic curves and Fermi-Walker derivative [23][24][25].…”

Section: Fermi-walker Derivativementioning

confidence: 99%

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

2021

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“…In this section, we give the definitions of T , 1 N , 2 N magnetic curves and Fermi-Walker derivative [23][24][25].…”

Section: Fermi-walker Derivativementioning

confidence: 99%

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

Körpınar

Özdemir

2020

J. Sci. Arts

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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.

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Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space

Cited by 8 publications

References 11 publications

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

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

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

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

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