Characterizations of the position vector of a surface curve in Euclidean 3-space
Yükleniyor...
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ovidius Univ Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
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.
Açıklama
Kula, Levent/0000-0002-8208-9728
Anahtar Kelimeler
Position vector, (curve-surface)-frame, geodesic curvature, normal curvature, geodesic torsion and transversal surfaces
Kaynak
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
19
Sayı
3
Künye
Camci, Cetin & Kula, Levent & Ilarslan, Kazim. (2011). Characterizations of the position vector of a surface curve in Euclidean 3-space. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 19. 59-70.
