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

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 Euclidean3-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 $\mathbb{E}{^{3}}$.

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Publication Details

Journal
DergiPark (Istanbul University)
Published
2024-12-12
Primary Topic
Geometric Analysis and Curvature Flows
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article

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

DergiPark (Istanbul University)
Geometric Analysis and Curvature Flows
article

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

article en

Abstract

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 Euclidean3-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 $\mathbb{E}{^{3}}$.

DergiPark (Istanbul University)
Eskişehir Osmangazi University (TR)
Openalex Percentile: Top 40%
Geometric Analysis and Curvature Flows
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