On The Hasimoto Surfaces in Euclidean 3-space

UĞUR KAYMANLI G., EKİCİ C., KOÇAK M.

Journal Of Science And Arts, cilt.22, sa.4, ss.883-890, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.46939/j.sci.arts-22.4-a10
  • Dergi Adı: Journal Of Science And Arts
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.883-890
  • Anahtar Kelimeler: curvature, Hasimoto surface, q-frame, vortex filament
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In the present study, we work on the Hasimoto surfaces in three-dimensional Euclidean space by using q-frame. Calculating the coefficients of fundamental forms, we present Gaussian and mean curvatures of these Hasimoto surfaces. Lastly, we find some characterization of parameter curves of these Hasimoto surfaces.