DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di -DARBOUX SLANT HELICES
In this article, the differential equation characterizations for -Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculating Darboux Frame”, “Normal Darboux Frame”, and “Rectifying Darboux Frame”, respectively.
Authors
- Hüseyin Kocayiğit (ORCID: https://orcid.org/0000-0001-6503-8243)
- Tuba Ağırman Aydın (ORCID: https://orcid.org/0000-0001-8034-0723)
- Akın Alkan (ORCID: https://orcid.org/0000-0002-8179-9525)
Institutions
- Bayburt University (TR)
- Manisa Celal Bayar University (TR)
Publication Details
- Journal
- Journal of Science and Arts
- Published
- 2025-06-30
- DOI
- https://doi.org/10.46939/j.sci.arts-25.2-a10
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00