대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제61권3호
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  • Pages.849-866
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  • 2024
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A NON-NEWTONIAN APPROACH IN DIFFERENTIAL GEOMETRY OF CURVES: MULTIPLICATIVE RECTIFYING CURVES

  • Muhittin Evren Aydin (Department of Mathematics Firat University) ;
  • Aykut Has (Department of Mathematics Kahramanmaras Sutcu Imam University) ;
  • Beyhan Yilmaz (Department of Mathematics Kahramanmaras Sutcu Imam University)
  • Received : 2023.08.24
  • Accepted : 2024.01.26
  • Published : 2024.05.31
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Abstract

In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. By several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves.

Keywords

Acknowledgement

This study was supported by Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant Number 123F055. The authors thank to TUBITAK for their supports.

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