- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- A New Approach on Some Special Curves
A New Approach on Some Special Curves
Authors : Tuba AĞIRMAN AYDIN, Hüseyin KOCAYİĞİT
Pages : 118-124
Doi:10.47000/tjmcs.1141025
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Publication Date : 2023-06-30
Article Type : Research Article
Abstract :In this paper, we obtain some characterizations for a Frenet curve with the help of an alternative frame different from 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 them in the Euclidean 3-space. Moreover, we give the classifications of these type curves.Keywords : Alternative frame, harmonic curves, biharmonic curves