Characterizations for slant ruled surfaces in dual space

Oral S., KAZAZ M.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.41, sa.1, ss.191-197, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s40995-017-0201-5
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.191-197
  • Anahtar Kelimeler: Dual darboux frame, Dual slant curve, Dual spherical curve, Slant ruled surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we study slant ruled surfaces in dual space by considering E. Study’s mapping. We consider ruled surfaces as spherical curves lying on dual unit sphere and study the notion of ‘‘slant ruled surface’’ by means of dual Darboux frame and obtain some dual characterizations for which the real parts of them coincide with results given by Önder (Slant ruled surfaces in Euclidean 3-space E3, arXiv:1311.0627v1 [math.DG], 2013).