Honam Mathematical Journal (호남수학학술지)

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ON RULED SURFACES GENERATED BY SANNIA FRAME BASED ON ALTERNATIVE FRAME

  • Suleyman Senyurt (Department of Mathematics, Faculty of Arts and Sciences, Ordu University) ;
  • Davut Canli (Department of Mathematics, Faculty of Arts and Sciences, Ordu University) ;
  • Kebire Hilal Ayvaci (Department of Mathematics, Faculty of Arts and Sciences, Ordu University)
  • Received : 2023.05.02
  • Accepted : 2023.07.18
  • Published : 2024.03.20
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Abstract

The paper introduces a set of new ruled surfaces such that the base curve is taken to be the striction curve of N, C and W ruled surfaces from the alternative frame, and the generating line is taken to be one of the vectors of Sannia frame. The characterizations for each ruled surface such as fundamental forms, the Gaussian and mean curvature are also examined to provide the conditions for each surface to be developable or minimal.

Keywords

Acknowledgement

The authors thank to the referees for their careful review and valuable comments, which have improved the quality of the paper.

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