Kyungpook Mathematical Journal

  • 제58권2호
  • /
  • Pages.377-388
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  • 2018
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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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Quaternionic Direction Curves

  • Sahiner, Burak (Department of Mathematics, Manisa Celal Bayar University)
  • 투고 : 2017.09.28
  • 심사 : 2018.04.12
  • 발행 : 2018.06.23
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초록

In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.

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참고문헌

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