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- MakaleAçık Erişim2025DIFFERENTIAL EQUATIONS CHARACTERIZATION FOR Di-DARBOUX SLANT HELICES
Alkan, Akin; Kocayígít, Huseyin; Aydin, Tuba Agirman
In this article, the differential equation characterizations for D-i-Darboux slant helices given with the help of three new orthogonal frames are introduced for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called Osculating Darboux Frame, Normal Darboux Frame, and Rectifying Darboux Frame, respectively.
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- MakaleAçık Erişim2022SOME INTEGRAL CHARACTERIZATIONS OF TIMELIKE HELICES IN R42
Erpehlivan, Zeliha; Kocayigit, Hüseyin; Aydin, Tuba Agirman
In this study, we examine timelike helices in R-2(4) and some integral characterizations of these curves in terms of Frenet frame. In addition, we study timelike 2B slant helices in R-2(4) and present the differential equations for vector positions.
