English

On rectifying slant helices in Euclidean 3-space

General Mathematics 2025-04-18 v2

Abstract

In this paper, we study the position vectors of rectifying slant helices in E3E^3. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differential equation and by solving the equation, we have obtained a family of rectifying slant helices which lie on cones.

Keywords

Cite

@article{arxiv.1602.03413,
  title  = {On rectifying slant helices in Euclidean 3-space},
  author = {Bülent Altunkaya and Ferdağ Kahraman Aksoyak and Levent Kula and Cahit Aytekin},
  journal= {arXiv preprint arXiv:1602.03413},
  year   = {2025}
}
R2 v1 2026-06-22T12:47:40.911Z