Image Curves on the Parallel-Like Surfaces in E3

Creative Commons License

YURTTANÇIKMAZ S., TARAKCI Ö.

International Electronic Journal of Geometry, cilt.16, sa.1, ss.122-131, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1178434
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.122-131
  • Anahtar Kelimeler: Darboux frame, parallel-like surfaces
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, it’s introduced the curves lying on parallel-like surface Mf of a surface M in Euclidean space. Taking into account the definition of the parallel-like surface it’s obtained parametric expression of these curves and examinated Darboux frame for these curves which we call image curves. And finally the curves lying on the surfaces M and Mf are compared by considering their geodesic and normal curvatures, the geodesic torsion.