Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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RULED SURFACES GENERATED BY SALKOWSKI CURVE AND ITS FRENET VECTORS IN EUCLIDEAN 3-SPACE

  • Ebru Cakil (Department of Mathematical Engineering, Gumushane University) ;
  • Sumeyye Gur Mazlum (Department of Computer Technology, Gumushane University)
  • Received : 2024.03.22
  • Accepted : 2024.05.24
  • Published : 2024.06.30
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Abstract

In present study, we introduce ruled surfaces whose base curve is the Salkowski curve in Euclidean 3-space and whose generating lines consist of the Frenet vectors of this curve (tangent, principal normal and binormal vectors). Then, we produce regular surfaces from a vector with real coefficients, which is a linear combination of these vectors, and we examine some special cases for these surfaces. Moreover, we present some geometric properties and graphics of all these surfaces.

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References

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