Time-Like Sweeping Surfaces with a Bishop Frame in the Minkowski 3-Space E 1 3

In this paper, we consider a time-like sweeping surface and its local singularities with Bishop frame in Minkowski 3-space E 1 3 . Subsequently, we derive the sufficient and necessary conditions for this surface to be spacelike developable ruled surface. In particular, we mainly focus on the study f...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2022; pp. 1 - 8
Main Authors Nazra, Sahar H., Abdel-Baky, Rashad A.
Format Journal Article
LanguageEnglish
Published 28.04.2022
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Summary:In this paper, we consider a time-like sweeping surface and its local singularities with Bishop frame in Minkowski 3-space E 1 3 . Subsequently, we derive the sufficient and necessary conditions for this surface to be spacelike developable ruled surface. In particular, we mainly focus on the study for the resulting spacelike developable surface is a cylinder, cone or tangent surface. Finally, some representative curves are chosen to construct the corresponding spacelike developable surfaces.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/4189643