Cilt:71 Sayı:02 (2022)

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Browsing Cilt:71 Sayı:02 (2022) by Author "Önder, Mehmet"

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    Direction curves of generalized Bertrand curves and involute-evolute curves in E 4
    (Ankara Üniversitesi, 2022) Önder, Mehmet; Other; Other
    In this study, we define (1,3)-Bertrand-direction curve and (1,3)-Bertrand-donor curve in the 4-dimensional Euclidean space E 4 . We introduce necessary and sufficient conditions for a special Frenet curve to have a (1,3)-Bertrand-direction curve. We introduce the relations between Frenet vectors and curvatures of these direction curves. Furthermore, we investigate whether (1,3)-evolute-donor curves in E 4 exist and show that there is no (1,3)-evolute-donor curve in E 4 .