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Characterizations of the position vector of a surface curve in Euclidean 3 space    
Yazarlar
Cetin Camci
 Levent KULA Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kazim Ilarslan
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
Dergi ISSN 1224-1784
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2011
Cilt No 19
Sayı 3
Sayfalar 59 / 70
Makale Linki http://fs.gallup.unm.edu/ScientiaMagna.htm
Atıf Sayıları
WoS 9

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