Time-Like Sweeping Surfaces with a Bishop Frame in the Minkowski 3-Space E13

In this paper, we consider a time-like sweeping surface and its local singularities with Bishop frame in Minkowski 3-space E13. 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...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2022
Main Authors Nazra, Sahar H., Abdel-Baky, Rashad A.
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
Hindawi Limited
Subjects
Computer graphics
Geometry
Mathematical problems
Medical imaging
Minkowski space
Sweeping
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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 E13. 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