Darboux slant ruled surfaces

Önder M., KAYA O.

Azerbaijan Journal of Mathematics, cilt.5, sa.1, ss.64-72, 2015 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2015
  • Dergi Adı: Azerbaijan Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.64-72
  • Anahtar Kelimeler: Slant ruled surface, Darboux vector, conical curvature
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.