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Öğe Quaternionic bertrand curves in euclidean 4-space(Int Center Scientific Research & Studies, 2013) Kecilioğlu, Osman; İlarslan, KazımIn this paper, by using the similar idea of Matsuda and Yorozu [12], we prove that if bitorsion of a quatenionic curve alpha is no vanish, then there is no quaternionic curve in E-4 is a Bertrand curve. Then we define (1, 3) type Bertrand curves for quatenionic curve in Euclidean 4-space. We give some characterizations for a (1, 3) type quaternionic Bertrand curves in Euclidean 4-space by means of the curvature functions of the curve.
