On rectifying ruled surfaces

Önder M., Kahraman T.

Kuwait Journal of Science, vol.47, no.4, pp.1-11, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 4
  • Publication Date: 2020
  • Journal Name: Kuwait Journal of Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Arab World Research Source, zbMATH
  • Page Numbers: pp.1-11
  • Keywords: Minimal surface, Rectifying surface, Slant helix, Slant ruled surface
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.