Characterizations of the position vector of a surface curve in Euclidean 3 space
Yazarlar (3)
Cetin Camci Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye
Kazim Ilarslan Kirikkale Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica | ||
| Dergi ISSN | 1224-1784 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2011 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | – |
| Cilt / Sayı / Sayfa | 19 / 3 / 59–70 | DOI | – |
| Makale Linki | http://fs.gallup.unm.edu/ScientiaMagna.htm | ||
| Özet |
| In this paper, we give some characterizations of position vector of a unit speed curve in a regular surface M⊂ E3 which always lies in the planes spanned by {T, Z},{T, Y} and {Y, Z}, respectively, by using (curve-surface)-frame {T, Y, Z} instead of Frenet frame {T, N, B}. We characterize such curves in terms of the geodesic curvature kg, normal curvature kn and geodesic torsion tr. Furthermore, we give some characterization for the regular surface M by using the concept of transversality of surfaces in Euclidean 3-space. |
| Anahtar Kelimeler |
| (curve-surface)-frame | Geodesic curvature | Geodesic torsion and transversal surfaces | Normal curvature | Position vector |