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, vol.24, no.2, pp.735-748, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.1515/ijnsns-2020-0260
  • Journal Name: International Journal of Nonlinear Sciences and Numerical Simulation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.735-748
  • Keywords: 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 University Affiliated: Yes

Abstract

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.