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AN APPROACH FOR VECTORIAL MOMENTS IN EUCLIDEAN 3-SPACE
( Muhammed T. Sariaydin ),( Talat Körpinar ) 호남수학회 2020 호남수학학술지 Vol.42 No.1
In this paper, we investigate the vectorial moments of Bäcklund transformations of a space curve in E<sup>3</sup>. Firstly, it is obtained the vectorial moments which named αg dual curve, βg dual curve, and γg dual curve of Bäcklund transformations. Then we give the Euler elastic bending energies of these curves. Finally, we provide some examples of αg dual, βg dual, andγg dual, and their Euler elastic bending energies.
NEW VERSION OF THE MAGNETIC CURVES ACCORDING TO THE BISHOP FRAME IN E<sup>3</sup>
( Muhammed T. Sariaydin ),( Talat Korpinar ) 호남수학회 2019 호남수학학술지 Vol.41 No.1
In this paper, it is investigated Lorentz force equations for N<sub>1</sub> and N<sub>2</sub>-magnetic curves in 3-Dimensional Euclidean space. We give the Lorentz force in the Bishop frame in E<sup>3</sup>. Then, we obtain a new characterization for a magnetic field V . Also, we also give examples for each curve.
NEW VERSION OF THE MAGNETIC CURVES ACCORDING TO THE BISHOP FRAME IN 𝔼<sup>3</sup>
Sariaydin, Muhammed T.,Korpinar, Talat The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.1
In this paper, it is investigated Lorentz force equations for $N_1$ and $N_2$-magnetic curves in 3-Dimensional Euclidean space. We give the Lorentz force in the Bishop frame in ${\mathbb{E}}^3$. Then, we obtain a new characterization for a magnetic field V. Also, we also give examples for each curve.
New version of the magnetic curves according to the Bishop frame in $\mathbb{E}^{3}$
Muhammed T. Sariaydin,Talat Korpinar 호남수학회 2019 호남수학학술지 Vol.41 No.1
In this paper, it is investigated Lorentz force equations for $N_{1}$ and $N_{2}$-magnetic curves in 3-Dimensional Euclidean space. We give the Lorentz force in the Bishop frame in $\mathbb{E}^{3}$. Then, we obtain a new characterization for a magnetic field $V$. Also, we also give examples for each curve.