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    A New Approach on Some Special Curves
    (Association of Mathematicians (MATDER), 2023) 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. © MatDer.
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    On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$
    (Salim YÜCE, 2021) Aydın, Tuba Ağırman; Kocayiğit, Hüseyin
    In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$. Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$. Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.