English

Quaternionic Salkowski Curves and Quaternionic Similar Curves

Differential Geometry 2019-03-19 v2

Abstract

In this paper, we give the definitions and characterizations of quaternionic Salkowski, quaternionic anti-Salkowski and quaternionic similar curves in the Euclidean spaces E^3 and E^4. We obtain relationships between these curves and some special quaternionic curves such as quaternionic slant helices and quaternionic B2-slant helices.

Keywords

Cite

@article{arxiv.1205.1368,
  title  = {Quaternionic Salkowski Curves and Quaternionic Similar Curves},
  author = {Mehmet Önder},
  journal= {arXiv preprint arXiv:1205.1368},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-21T20:59:33.022Z