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In this present paper, we discuss the Tzitzeica curves from a different point in Euclidean 3-space. These curves have been studied before in many different dimensions in many different spaces. The difference of this study is to describe these curves with the help of an alternative framework. We called these special curves, with which we are defined with the help of this alternative moving frame, alternative Tzitzeica curves. We have obtained many characterizations for these curves.

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Tzitzeica Curves According to Alternative Moving Frame

  • 章节

  • 发表日期：

    2025年

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  • Ilkay Guven,
  • Beyhan Yilmaz,
  • Aykut Has

摘要

In this present paper, we discuss the Tzitzeica curves from a different point in Euclidean 3-space. These curves have been studied before in many different dimensions in many different spaces. The difference of this study is to describe these curves with the help of an alternative framework. We called these special curves, with which we are defined with the help of this alternative moving frame, alternative Tzitzeica curves. We have obtained many characterizations for these curves.