Di-Darboux Slant Helices on Surface

ALKAN A., KOCAYİĞİT H., Ağırman Aydın T.

Turkish Journal of Mathematics and Computer Science, vol.16, no.2, pp.386-399, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.47000/tjmcs.1310722
  • Journal Name: Turkish Journal of Mathematics and Computer Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.386-399
  • Keywords: Dn-Darboux slant helix, Do-Darboux slant helix, Dr-Darboux slant helix, helix, isophote curve, relatively normal-slant helix
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we consider Di-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the Di-Darboux slant helices. Moreover, the position vectors of the Di-Darboux slant helices are obtained.