Investigation of ruled surfaces and their singularities according to Blaschke frame in Euclidean 3-space

Autor: Yanlin Li, Ali. H. Alkhaldi, Akram Ali, R. A. Abdel-Baky, M. Khalifa Saad
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 6, Pp 13875-13888 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023709?viewType=HTML
Popis: In this paper, we study the singularities on a non-developable ruled surface according to Blaschke's frame in the Euclidean 3-space. Additionally, we prove that singular points occur on this kind of ruled surface and use the singularity theory technique to examine these singularities. Finally, we construct an example to confirm and demonstrate our primary finding.
Databáze: Directory of Open Access Journals