Research article

On spinor construction of Bertrand curves

  • Received: 22 September 2020 Accepted: 07 January 2021 Published: 21 January 2021
  • MSC : 15A66, 53A04

  • Spinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and differential geometry. In this study, spinors are used for a different representation of differential geometry in $ \mathbb{E}^3 $. The goal of this study is also the spinor structure lying at the basis of differential geometry. In this paper, firstly, spinors are introduced algebraically. Then, the spinor construction of Bertrand curves is defined. Moreover, the angle notion for these spinors is given. In this way, a different geometric construction of spinors is established in this paper.

    Citation: Tülay Erişir. On spinor construction of Bertrand curves[J]. AIMS Mathematics, 2021, 6(4): 3583-3591. doi: 10.3934/math.2021213

    Related Papers:

  • Spinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and differential geometry. In this study, spinors are used for a different representation of differential geometry in $ \mathbb{E}^3 $. The goal of this study is also the spinor structure lying at the basis of differential geometry. In this paper, firstly, spinors are introduced algebraically. Then, the spinor construction of Bertrand curves is defined. Moreover, the angle notion for these spinors is given. In this way, a different geometric construction of spinors is established in this paper.



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