Camci, CetinKula, LeventIlarslan, Kazim2020-06-252020-06-252011Camci, 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. 59-70.1224-1784https://hdl.handle.net/20.500.12587/5073Kula, Levent/0000-0002-8208-9728In 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.eninfo:eu-repo/semantics/openAccessPosition vector(curve-surface)-framegeodesic curvaturenormal curvaturegeodesic torsion and transversal surfacesArticle19359702-s2.0-84856446889Q3WOS:000300921900005Q4