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Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in $E_{1}^{3}$
Journal of the Egyptian Mathematical Society Pub Date : 2020-05-29 , DOI: 10.1186/s42787-020-00086-4
A. Elsharkawy

Equiform geometry is considered as a generalization of the other geometries. In this paper, involute and evolute curves are studied in the case of the curve α is an equiform spacelike with a timelike equiform principal normal vector N. Furthermore, the equiform frames of the involute and evolute curves are obtained. Also, the equiform curvatures of the involute and evolute curves are obtained in Minkowski 3-space.

中文翻译:

在 $E_{1}^{3}$ 中具有类时等效主法线的等效类空曲线的广义渐开线和渐开线曲线

等距几何被认为是其他几何的概括。本文研究了在曲线α为具有类时等等主法向量N的等等时空情况下的渐开线和渐开线曲线,并得到了渐开线和渐开线的等等坐标系。此外,渐开线和渐开线曲线的等效曲率是在闵可夫斯基 3 空间中获得的。
更新日期:2020-05-29
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