Kyungpook Mathematical Journal

  • 제63권2호
  • /
  • Pages.263-285
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-space

  • Stuti Tamta (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University) ;
  • Ram Shankar Gupta (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University)
  • 투고 : 2022.08.30
  • 심사 : 2023.03.14
  • 발행 : 2023.06.30
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초록

In this paper, we investigate the spherical indicatrices of a new relationship between Bertrand pair curves in Euclidean 3-space. We obtain necessary and sufficient conditions for this type of Bertrand pair curves to be slant helix, and provide an example.

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과제정보

The first author is grateful to University Grant Commission (UGC), Govt. of India, for awarding her a Senior Research Fellowship (UGC-SRF) with ID: JUNE18-413857. The authors are thankful to the reviewers for valuable suggestions which improved the manuscript.

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