A new characterization of curves in euclidean 4-space E4

Öztürk G., Gürpinar S., ARSLAN K.

Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, cilt.83, sa.1, ss.39-50, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: Buletinul Academiei de Stiinte a Republicii Moldova. Matematica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.39-50
  • Anahtar Kelimeler: ccr-curve, Position vector, Rectifying curve
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© G. Öztürk, S. Gürpmar, K. Arslan, 2017.In the present study, we characterize a regular curve whose position vector can be written as a linear combination of its Serret-Frenet vectors in Euclidean 4-space E4. We investigate such curves in terms of their curvature functions. Further, we obtain some results of T-constant, N-constant and constant ratio curves in E4.