A New Approach on Some Special Curves

Aydın T. A., KOCAYİĞİT H., Kara M.

Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.118-124, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.47000/tjmcs.1141025
  • Dergi Adı: Turkish Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.118-124
  • Anahtar Kelimeler: Alternative frame, biharmonic curves, harmonic curves
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.