Image Curves on the Parallel-Like Surfaces in E3

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International Electronic Journal of Geometry, vol.16, no.1, pp.122-131, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.36890/iejg.1178434
  • Journal Name: International Electronic Journal of Geometry
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.122-131
  • Keywords: Darboux frame, parallel-like surfaces
  • Ataturk University Affiliated: Yes


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.