空间曲线的自然共轭和共轭的位置向量

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Mathematical Physics Pub Date : 2023-05-08 DOI:10.1155/2023/7565988

A. Alghanemi, M. Khan

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引用次数: 1

摘要

自然配偶的概念和欧几里得三空间中与光滑曲线相关的共轭曲线最初是由Dashmukh等人提出的。在本文中，我们给出了一些额外的结果，增加了E3中与光滑空间曲线相关的自然配对和共轭曲线的更多性质。研究了给定光滑曲线的自然配偶和共轭的位置矢量。利用自然配偶的位置矢量，给出了光滑给定曲线为Bertrand曲线的充要条件。此外，还介绍了一般螺旋的一种新的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Position Vectors of the Natural Mate and Conjugate of a Space Curve

The concept of the natural mate and the conjugate curves associated to a smooth curve in Euclidian 3-space were introduced initially by Dashmukh and others. In this paper, we give some extra results that add more properties of the natural mate and the conjugate curves associated with a smooth space curve in E 3 . The position vectors of the natural mate and the conjugate of a given smooth curve are investigated. Also, using the position vector of the natural mate, the necessary and sufficient condition for a smooth given curve to be a Bertrand curve is introduced. Moreover, a new characterization of a general helix is introduced.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.