English

Slant helices in three dimensional lie groups

Differential Geometry 2013-11-05 v2

Abstract

In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images.

Cite

@article{arxiv.1203.1146,
  title  = {Slant helices in three dimensional lie groups},
  author = {O. Zeki Okuyucu and I. Gök and Y. Yayli and N. Ekmekci},
  journal= {arXiv preprint arXiv:1203.1146},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-21T20:29:35.376Z