Some new characterizations of a space curve due to a modified frame {N →, C →, W →} in Euclidean 3-space

Ayaz S., Kuşak Samanci H., KOCAYİĞİT H.

International Journal of Nonlinear Sciences and Numerical Simulation, cilt.24, sa.2, ss.735-748, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/ijnsns-2020-0260
  • Dergi Adı: International Journal of Nonlinear Sciences and Numerical Simulation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.735-748
  • Anahtar Kelimeler: harmonic and harmonic 1-type curves, modified frame, (N)over-right-arrow, (C)over-right-arrow, (W)over-right-arrow, slant helix
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In our paper, we computed some new characterizations due to an alternative modified frame {N →, C →, W →} in Euclidean 3-space and we get general differential equation characterizations of a space curve due to the vectors N →, C →, W →. Furthermore, we investigated some differential equations characterizations of the harmonic and harmonic 1-type curves.