English

Some Special Helices in Myller Configuration

General Mathematics 2023-05-15 v1

Abstract

Some new kinds of special curves called ξ_\overset{\_}{\xi}-helix, \overset{% \_}{\xi}_{1}-helix, μ_\overset{\_}{\mu}-helix, ν_\overset{\_}{\nu}-helix and WkW_{k}-Darboux helices (k{n,r,o})(k\in \left\{ {n,r,o}\right\} ) in the Myller configuration M(C,ξ_,π)M(C,\overset{\_}{\xi },\pi ) are defined and studied. The necessary and sufficient conditions for these curves are obtained, also the axes of those helices are given and the relationships between them are introduced.

Cite

@article{arxiv.2305.07548,
  title  = {Some Special Helices in Myller Configuration},
  author = {Akın Alkan and Mehmet Önder},
  journal= {arXiv preprint arXiv:2305.07548},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T10:33:05.200Z