English

Osculating direction curves and their applications

Differential Geometry 2015-03-26 v1

Abstract

In this study, we define a new type of direction curves in the Euclidean 3-space such as osculating-direction curve. We give the characterizations for these curves. Moreover, we obtain the relationships between osculating direction curves and some special curves such as helix, slant helix or rectifying curves.

Keywords

Cite

@article{arxiv.1503.07385,
  title  = {Osculating direction curves and their applications},
  author = {Mehmet Önder and Sezai Kızıltuğ},
  journal= {arXiv preprint arXiv:1503.07385},
  year   = {2015}
}

Comments

13 page

R2 v1 2026-06-22T09:01:51.783Z