Construction of the Frenet-Serret frame of a curve in 4D Galilean space and some applications

International Journal of Physical Sciences

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关键词: Galilean space;    Frenet-Serret frame;    spherical curves;    vector differential equation.;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve’s Frenet-Serret equations. Then, we prove that tangent vector of a curve in Galilean 4-space satisfies a vector differential equation of fourth order. Additionally, some characterizations of Galilean spherical curves and an example of the main results are presented.

【 授权许可】

CC BY