Non-Null Canal Surfaces with Bishop Frame in Minkowski 3-Space

In this paper, we investigate spacelike and timelike canal surfaces foliated by S12 pseudo spheres in Minkowski 3-space based on the Bishop frame. Various types of canal surfaces, including Weingarten, linear Weingarten, developable, and minimal forms, are categorized to highlight the singular points and the geometric properties of such surfaces. Our analysis sheds light on the intrinsic properties of these surfaces and contributes to the understanding of their behavior within the context of Minkowski geometry. Finally, we present a computational example as a practical validation of our theoretical findings.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-08-25
DOI
https://doi.org/10.28924/2291-8639-23-2025-212
Primary Topic
Planetary Science and Exploration
Type
article
Field-Weighted Citation Impact
0.00

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article

Non-Null Canal Surfaces with Bishop Frame in Minkowski 3-Space

M. I. Elashiry, A. A. Abdel-Salam, M. Khalifa Saad, Nural Yüksel et al.
International Journal of Analysis and Applications
Planetary Science and Exploration
article

Non-Null Canal Surfaces with Bishop Frame in Minkowski 3-Space

M. I. Elashiry, A. A. Abdel-Salam, M. Khalifa Saad, Nural Yüksel, Nurdan Oğraş
article en

Abstract

In this paper, we investigate spacelike and timelike canal surfaces foliated by S12 pseudo spheres in Minkowski 3-space based on the Bishop frame. Various types of canal surfaces, including Weingarten, linear Weingarten, developable, and minimal forms, are categorized to highlight the singular points and the geometric properties of such surfaces. Our analysis sheds light on the intrinsic properties of these surfaces and contributes to the understanding of their behavior within the context of Minkowski geometry. Finally, we present a computational example as a practical validation of our theoretical findings.

International Journal of Analysis and ApplicationsVol. 23
Northern Border University
Openalex Percentile: Top 84%
Planetary Science and Exploration
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