Research article Special Issues

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

  • Received: 10 February 2023 Revised: 24 March 2023 Accepted: 30 March 2023 Published: 12 April 2023
  • MSC : 53A04, 53A05, 53A17

  • 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.

    Citation: Yanlin Li, Ali. H. Alkhaldi, Akram Ali, R. A. Abdel-Baky, M. Khalifa Saad. Investigation of ruled surfaces and their singularities according to Blaschke frame in Euclidean $ 3 $-space[J]. AIMS Mathematics, 2023, 8(6): 13875-13888. doi: 10.3934/math.2023709

    Related Papers:

  • 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.



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