框架Bertrand曲线的旋量表示

Pub Date : 2023-01-01 DOI:10.2298/fil2309831i

Zehra İşbilir, Bahar Yazıcı, Murat Tosun

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引用次数: 1

摘要

在本研究中，我们打算利用旋量来检验三维欧几里得空间E3中的框架贝特朗曲线，旋量在从数学到物理学的不同学科中都具有基本的地位和重要性。为此，我们研究了E3中框架Bertrand伙伴的旋量表示。此外，我们还给出了一些几何结果和解释。然后，我们用说明性的图形构造数值例子来支持给定的材料。

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The spinor representations of framed Bertrand curves

In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3. Additionally, we present some geometric results and interpretations. Then, we construct numerical examples with illustrative figures in order to support the given materials.

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