Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space

Spacelike Sweeping Surfaces and Singularities in Minkowski 3-Space

We considered the spacelike sweeping surface with rotation minimizing frames at Minkowski 3-space E13. 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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical problems in engineering 2021-01, Vol.2021, p.1-11
Hauptverfasser: Mofarreh, Fatemah, Abdel-Baky, Rashad A., Alluhaibi, Nadia
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Medical imaging
Minkowski space
Singularities
Spheres
Surfaces
Velocity
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We considered the spacelike sweeping surface with rotation minimizing frames at Minkowski 3-space E13. 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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/5130941