Position Vectors of a Relatively Normal-slant Helix in Euclidean 3-space

Authors

  • Abderrazzak El Haimi
  • Amina Ouazzani Chahdi

Keywords:

Darboux frame, Position vector, Relatively normal-slant, Slant helices, General helices.

Abstract

In this paper, we give a new characterization of a relatively normal-slant helix. Thereafter, we construct a vector differential equation of the third order to determine the parametric representation of a relatively normal-slant helix according to standard frame in Euclidean 3-space. Finally, we apply this method to find the position vector of some special cases.

Key words and phrases. Darboux frame, Position vector, Relatively normal-slant, Slant helices, General helices.

2020 Mathematics Subject Classification. Mathematics Subject Classification 53A04.

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Published

2025-05-18

How to Cite

Abderrazzak El Haimi, & Amina Ouazzani Chahdi. (2025). Position Vectors of a Relatively Normal-slant Helix in Euclidean 3-space. Jordan Journal of Mathematics and Statistics, 16(1), 139–152. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/695

Issue

Vol. 16 No. 1 (2023)

Section

Articles