Cilt:71 Sayı:02 (2022)

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Browsing Cilt:71 Sayı:02 (2022) by Author "Aksoyak, Ferdağ Karaman"

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    Quaternionic Bertrand curves according to type 2-quaternionic frame in R 4
    (Ankara Üniversitesi, 2022) Aksoyak, Ferdağ Karaman; Other; Other
    In this paper, we give some characterization of quaternionic Bertrand curves whose the torsion is non-zero but bitorsion is zero in R 4 according to Type 2-Quaternionic Frame. One of the most important points in working on quaternionic curves is that given a curve in R 4 , the curve in R 3 associated with this curve is determined individually. So, we obtain some relationships between quaternionic Bertrand curve α ( 4 ) in R 4 and its associated spatial quaternionic curve α in R 3 . Also, we support some theorems in the paper by means of an example.