Quaternionic Direction Curves

ŞAHİNER B.

KYUNGPOOK MATHEMATICAL JOURNAL, vol.58, no.2, pp.377-388, 2018 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.5666/kmj.2018.58.2.377
  • Journal Name: KYUNGPOOK MATHEMATICAL JOURNAL
  • Journal Indexes: Scopus
  • Page Numbers: pp.377-388
  • Keywords: Associated curves, Direction curves, Quaternionic curves, Quaternionic helix, Spatial quaternionic curves
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.