On The Hasimoto Surfaces in Euclidean 3-space
Journal Of Science And Arts, cilt.22, sa.4, ss.883-890, 2022 (ESCI)
- 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.