Null Quaternionic Bertrand Partner Curves

KAHRAMAN T.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.42, sa.3, ss.1511-1515, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40995-017-0182-4
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1511-1515
  • Anahtar Kelimeler: Bertrand partner curves, Null quaternionic curve, Serret–Frenet formulae
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we study null quaternionic Bertrand curves in the semi-Euclidean spaces E13 and E14, respectively. We obtain some characterizations for null quaternionic Bertrand partner curves. We show that the constant distance between the quaternionic partner curves is independent from the first curvatures of the curves in both spaces E13 and E14.