Approximations of Parallel Surfaces Along Curves

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Köse B., YAYLI Y.

International Electronic Journal of Geometry, cilt.16, sa.2, ss.715-726, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1362590
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.715-726
  • Anahtar Kelimeler: curves on surfaces, developable surfaces, flat approximations, normal approximations, Parallel surfaces
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study developable surfaces which are flat and normal approximation of parallel surfaces along curves associated with three special vector fields. It is known that a surface whose points are at a constant distance along the normal of the surface is called a parallel surface. We investigate singularities of such developable surfaces. We show that under what conditions the approach surfaces are parallel. Also, we show that the approach surfaces are constant angle ruled surfaces if the curves selected on the surfaces are isophote, relatively normal-slant helix and helix.