English

On Slant Helices and General Helices in Euclidean n-Space

Differential Geometry 2016-06-10 v1

Abstract

In this paper, in Euclidean n -space, we investigate the relation between slant helices and spherical helices. Moreover, in E n, we show that a slant helix and the tangent indicatrix of the slant helix have the same axis (or direction). Also, we give the important relations between slant helices, spherical helices in E n and geodesic curves on a helix hypersurface in E n.

Keywords

Cite

@article{arxiv.1108.3582,
  title  = {On Slant Helices and General Helices in Euclidean n-Space},
  author = {Yusuf Yayli and Evren Ziplar},
  journal= {arXiv preprint arXiv:1108.3582},
  year   = {2016}
}