Parallel surfaces of the non-lightlike solution of vortex filament equations
Mathematica Slovaca, cilt.74, sa.3, ss.613-628, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.1515/ms-2024-0047
- Dergi Adı: Mathematica Slovaca
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.613-628
- Anahtar Kelimeler: Hasimoto surface, parallel surface, smoke ring equation.
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the parallel surfaces of the nonlightlike solution of vortex filament equations, namely, the parallel surfaces to Hasimoto surfaces in E13. We examine the relation between the geometric structures of Hasimoto surfaces and parallel surfaces to them. Moreover, we give concluding remarks about the parameter curves of parallel surface to Hasimoto surfaces.