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Yayınlar
- MakaleAçık Erişim2024Scopus SJRQ4Di-Darboux Slant Helices on Surface
Alkan, Akın; Kocayiğit, Hüseyin; Ağırman Aydın, Tuba
In this study, we consider Di-Darboux slant helices which are new surface curves on an oriented surface. We give some characterizations for such curves according to the Darboux frame, OD-frame, ND-frame, RD-frame, and obtain axes of the Di-Darboux slant helices. Moreover, the position vectors of the Di-Darboux slant helices are obtained.
AtıfOpenAlex2
İncele - MakaleAçık Erişim2023A New Approach on Some Special Curves
Aydın, Tuba Ağırman; Kocayiğit, Hüseyin; Kara, Meryem
In this paper, we obtain some characterizations for a Frenet curve with the help of an alternative frame different from the Frenet frame. Also, in the present study, we consider weak biharmonic and harmonic 1-type curves by using the mean curvature vector field of the curve. We also study 1-type and biharmonic curves whose mean curvature vector field is in the kernel of Laplacian. We give some theorems for such curves in the Euclidean 3-space. Moreover, we give the classifications of these types of curves.
- MakaleAçık Erişim2021On Involute-Evolute Curve Pair in Semi-Euclidean Space
Aydın, Tuba Ağırman; Kocayigit, Hüseyin
In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures and the associated Frenet Frame of this kind of generalized involute-evolute curve pair are presented.
AtıfOpenAlex1İncele - DergiTurkish Journal of Mathematics and Computer Science