Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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INTEGRAL CURVES CONNECTED WITH A FRAMED CURVE IN 3-SPACE

  • Mustafa Duldul (Department of Mathematics, Yildiz Technical University) ;
  • Zeynep Bulbul (Department of Mathematics, Yildiz Technical University)
  • Received : 2022.09.06
  • Accepted : 2022.12.03
  • Published : 2023.03.25
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Abstract

In this paper, we define some integral curves connected with a framed curve in Euclidean 3-space. These curves include framed generalized principal-direction curve, framed generalized binormal-direction curve, framed principal-donor curve and framed Darboux-direction curve. We obtain some relations between the framed curvatures of new defined framed curves and framed curvatures of given framed curve. By using the obtained relationships we give some characterizations for such curves. We also give methods for constructing framed helix and framed slant helix from planar curves.

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Acknowledgement

The authors would like to thank reviewers for their comments and suggestions.

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