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Characterizations of the position vector of a surface curve in Euclidean 3 space    
Yazarlar
Cetin Camci
Prof. Dr. Levent KULA Prof. Dr. 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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