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AW(k)-TYPE CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN EUCLIDEAN SPACE E 4

Ilim, Ki¸si Ki¸si, Sezgin Büyükkütük, Deepmala, Günay Günay¨oztürk
2016 NIŠNIˇNIŠ) Ser. Math. Inform   unpublished

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In this paper, we study AW(k)-type (k = 1, 2, ..., 7) curves according to the parallel transport frame in Euclidean space E 4. We give the classification of these types curves with the parallel transport curvatures (Bishop curvatures). Finally, we consider the curvatures k1, k2, k3 as constants respectively and give the relations between the parallel transport curvatures of AW(k)-type (k = 1, 2, ..., 7) curves.
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Ilim, Ki¸si Ki¸si, Sezgin Büyükkütük, Deepmala, Günay Günay¨oztürk. "AW(k)-TYPE CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN EUCLIDEAN SPACE E 4." NIŠNIˇNIŠ) Ser. Math. Inform (2016)