在混合曲线上

Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering Pub Date : 2023-10-02 DOI:10.30931/jetas.1338660

Mücahit AKBIYIK

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引用次数: 0

摘要

在本文中，我们首先定义了一种特殊的模拟Minkowski几何$(\mathbb{R}^3，\langle，\rangle) $中的向量积，该向量积被识别为空间杂化空间。其次，我们利用空间杂化和矢量积导出了三维非抛物曲线的Frenet-Serret框架公式。然而，我们在$\mathbb{R}^4$中给出了非类光混合曲线的Frenet-Serret Frame公式，并用Matlab代码给出了本文所有定理的示例。

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ON HYBRID CURVES

In this paper, we first define the vector product in a special analog Minkowski Geometry $(\mathbb{R}^3,\langle,\rangle) $ which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret Frame formulae of a non-lightlike hybrid curve in $\mathbb{R}^4$ and an illustrative example for all theorems of the paper with Matlab codes.

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Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering

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