Focal Surfaces Connected with VFF for Type 1-PAF in $\mathbb{E}{^{3}}$

Yıl 2025, Cilt: 7 Sayı: 1, 1 - 14, 30.06.2025

Esin Şahin , Şerife Nevin Gürbüz

Öz

In this paper, we obtain vortex filament flow (VFF) surfaces for three classes according to Type 1-PAF in Euclidean 3-space $\mathbb{E}{^{3}}$. Additionally, we obtain the first and second fundamental forms, Gauss and mean curvatures of focal surfaces generated by vortex filament flow surfaces in Euclidean
3-space $\mathbb{E}{^{3}}$. Furthermore , we present focal surfaces generated by vortex filament flow for three classes according Type 1-PAF in Euclidean 3-space $\mathbb{E}{^{3}}$. Finaly, we provide examples related to focal surfaces generated by vortex filament flow surfaces for three classes according Type 1-PAF in Euclidean 3-space $\mathbb{E}{^{3}}$.

Anahtar Kelimeler

VFF , Type 1-PAF , Euclidean space

Kaynakça

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