伽利略 4 空间中的准位置矢量曲线

IF 1.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Frontiers in Physics Pub Date : 2024-07-24 DOI:10.3389/fphy.2024.1400730

Ayman Elsharkawy, Noha Elsharkawy

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引用次数: 0

摘要

Frenet 框架并不适合描述曲线在伽利略空间中的行为，因为它并非处处都有定义。本研究在伽利略 4 空间中研究了另一种框架，即所谓的准框架。此外，还推导出了伽利略 4 空间中的准公式，并根据准框架及其导数获得了准曲率。研究了伽利略 4 空间中的准矫正曲线、准正曲线和准旋转曲线。我们证明在伽利略 4 空间中不存在准正曲线和相应的正曲线。

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Quasi-position vector curves in Galilean 4-space

The Frenet frame is not suitable for describing the behavior of the curve in the Galilean space since it is not defined everywhere. In this study, an alternative frame, the so-called quasi-frame, is investigated in Galilean 4-space. Furthermore, the quasi-formulas in Galilean 4-space are deduced and quasi-curvatures are obtained in terms of the quasi-frame and its derivatives. Quasi-rectifying, quasi-normal, and quasi-osculating curves are studied in Galilean 4-space. We prove that there is no quasi-normal and accordingly normal curve in Galilean 4-space.

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来源期刊

Frontiers in Physics Mathematics-Mathematical Physics

CiteScore

4.50

自引率

6.50%

发文量

1215

审稿时长

12 weeks

期刊介绍： Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.