Darboux slant ruled surfaces

Önder M., KAYA O.

Azerbaijan Journal of Mathematics, vol.5, no.1, pp.64-72, 2015 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2015
  • Journal Name: Azerbaijan Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.64-72
  • Keywords: Slant ruled surface, Darboux vector, conical curvature
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we introduce Darboux slant ruled surface in the Euclidean 3-space E3which is defined by the property that the Darboux vector W of orthonormal frame of a ruled surface satisfies the condition 〈W, u〉 = constant ≠ 0 where u is a fixed non-zero direction in the space. We obtain characterizations for Darboux slant ruled surfaces according to conical curvature κ and give the relations between a Darboux slant ruled surface and other slant ruled surfaces.