On Spatial Mechanisms in Lorentzian 3-Space

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics Pub Date : 2024-03-15 DOI:10.1007/s00009-024-02606-3

引用次数: 0

Abstract

Let \(L^{4}\) be a 4-dimensional Lorentzian space with the sign (−,+,+,+). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in \(L^{4}\) . For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After then, using these structure equations, we search the algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in Lorentzian 3-space with respect to the causal characters of the first link and the axis of rotation of the joint.

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论洛伦兹 3 空间中的空间机制

摘要假设\(L^{4}\)是一个符号为(-,+,+,+)的四维洛伦兹空间。本研究的目的是研究 \(L^{4}\) 中 2C 和 3C 空间开链约束流形的其他缺失代数形式。为此，我们首先利用洛伦兹平面和洛伦兹球的开链方程得到空间开链的结构方程。然后，利用这些结构方程，我们在洛伦兹三维空间中寻找 2C 和 3C 空间开链的约束流形的代数形式，这些约束流形与第一链节和关节旋转轴的因果关系有关。

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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来源期刊

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.