Position Vectors of Curves Generalizing General Helices and Slant Helices in Euclidean 3-Space

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-02-05 DOI:10.5556/J.TKJM.52.2021.3463

M. Izid, Abderrazak El Haimi, A. O. Chahdi

引用次数: 1

Abstract

In this paper, we give a new characterization of a k-slant helix which is a generalization of general helix and slant helix. Thereafter, we construct a vector differential equation of the third order to determine the parametric representation of a k-slant helix according to standard frame in Euclidean 3-space. Finally, we apply this method to find the position vector of some examples of 2-slant helix by means of intrinsic equations.

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欧几里德三维空间中推广一般螺旋和斜螺旋曲线的位置向量

本文给出了k-斜螺旋的一个新性质，它是一般螺旋和斜螺旋的推广。在此基础上，我们构造了一个三阶矢量微分方程，以确定k-斜螺旋在欧氏三维空间中按照标准坐标系的参数表示。最后，利用本征方程求出了一些2斜螺旋的位置向量。

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

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.

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