On rectifying ruled surfaces

Önder M., KAHRAMAN T.

Kuwait Journal of Science, cilt.47, sa.4, ss.1-11, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: Kuwait Journal of Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, zbMATH
  • Sayfa Sayıları: ss.1-11
  • Anahtar Kelimeler: Minimal surface, Rectifying surface, Slant helix, Slant ruled surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E3 . We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces.