Helical Transformations from Spherical to Rectifying Curves
Yazarlar (1)
Prof. Dr. Bülent ALTUNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Konuralp Journal of Mathematics | ||
| Dergi ISSN | 2147-625X Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus, MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2025 |
| Cilt / Sayı / Sayfa | 13 / 2 / 292–299 | DOI | – |
| Makale Linki | https://dergipark.org.tr/en/pub/konuralpjournalmath/issue/95329/1678333 | ||
| Özet |
| In this work, we characterize the relationships between spherical helices and rectifying helices in the Euclidean 3-space. By transforming a given spherical curve with specific geometric properties, we construct a corresponding rectifying helix. Our study establishes three key correspondences: first, spherical curves with constant curvature result in slant helices; second, spherical helices give rise to clad helices; and third, spherical slant helices lead to generalized clad helices. These findings contribute to a deeper understanding of the geometric interplay between different types of space curves. AMS Subject Classification: 53A04, 53A05, 58C25. |
| Anahtar Kelimeler |
| clad helix | g-clad helix | Rectifying helix | Sabban frame | slant helix | spherical helix |
