A New Approach on Some Special Curves

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Turkish Journal of Mathematics and Computer Science
Volume: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

View : 58 | Download : 35

Publication Date : 2023-06-30

Article Type : Research Paper

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

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