2021
DOI: 10.33773/jum.956862
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Smarandache Curves According to Alternative Frame in E^3

Abstract: In this study, we focus on Smarandache curves which are a special class of curves. These curves have previously been studied by many authors in different spaces. We will re-characterize these curves with the help of an alternative frame different from Frenet frame. Also, we will obtain frame vectors curvature and torsion of these curves.

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Cited by 2 publications
(1 citation statement)
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“…Turgut and Yılmaz, described the Smarandache curves in Minkowski space [15]. Later, at either Euclidean Süleyman S ¸enyurt, Kebire Hilal Ayvacı and Davut Canlı / FCMS or Minkowski space, some features of the Smarandache curves are investigated according to the Darboux frame, Bishop frame, alternative frame, q frame and Sabban frame, [1,3,4,6,7,9,[11][12][13][14]. In this study, we introduce special Smarandache curves according to the new Flc frame in Euclidean 3-space.…”
Section: Introductionmentioning
confidence: 99%
“…Turgut and Yılmaz, described the Smarandache curves in Minkowski space [15]. Later, at either Euclidean Süleyman S ¸enyurt, Kebire Hilal Ayvacı and Davut Canlı / FCMS or Minkowski space, some features of the Smarandache curves are investigated according to the Darboux frame, Bishop frame, alternative frame, q frame and Sabban frame, [1,3,4,6,7,9,[11][12][13][14]. In this study, we introduce special Smarandache curves according to the new Flc frame in Euclidean 3-space.…”
Section: Introductionmentioning
confidence: 99%