Characterizations of the position vector of a surface curve in Euclidean 3 space
Yazarlar (3)
Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kirikkale Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| 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 |
| 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 subset of E-3 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 k(g), normal curvature k(n) and geodesic torsion t(r). Furthermore, we give some characterization for the regular surface M by using the concept of transversality of surfaces in Euclidean 3-space. |
| Anahtar Kelimeler |
| Position vector | (curve-surface)-frame | geodesic curvature | normal curvature | geodesic torsion and transversal surfaces |