Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space | Zendy

Fatemah Mofarreh | Zendy; Rashad A. Abdel-Baky | Zendy; Nadia Alluhaibi | Zendy

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Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space

Author(s) -

Fatemah Mofarreh,

Rashad A. Abdel-Baky,

Nadia Alluhaibi

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5130941

Subject(s) - minkowski space , gravitational singularity , surface (topology) , mathematics , invariant (physics) , pure mathematics , space (punctuation) , rotation (mathematics) , geometry , mathematical analysis , mathematical physics , computer science , operating system

We considered the spacelike sweeping surface with rotation minimizing frames at Minkowski 3-space E 1 3 . We presented the new geometric invariant to demonstrate geometric properties and local singularities for this surface. Then, we derived sufficient and necessary conditions of the surface to become developable ruled surfaces. Additionally, its singularities are studied. Finally, examples are illustrated to explain the applications of the theoretical results.

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