Browsing by Publisher "Kyungpook National University"

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    Quaternionic direction curves
    (Kyungpook National University, 2018) Şahiner B.
    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. © Kyungpook Mathematical Journal.