Some characterizations for legendre curves in the 3-dimensional sasakian space

KOCAYİĞİT H., Onder M.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.39, sa.A4, ss.533-541, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: A4
  • Basım Tarihi: 2015
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.533-541
  • Anahtar Kelimeler: Legendre curve, normal curve, rectifying curve, Sasakian space
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we give some characterizations for Legendre spherical, Legendre normal and Legendre rectifying curves in the 3-dimensional Sasakian space. Furthermore, we show that Legendre spherical curves are also Legendre normal curves. In particular, we prove that the inverse of curvature of a Legendre rectifying curve is a non-constant linear function of the arclength parameter.