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arxiv: 1301.5666 · v1 · pith:ZLC4E4OVnew · submitted 2013-01-23 · 🧮 math.DG

Characterizations of the Quaternionic Mannheim Curves in E⁴

classification 🧮 math.DG
keywords curvesmannheimspacecharacterizationseuclideanquaternionicdefinedimensional
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In [5], Matsuda and Yorozo obtained that Mannheim curves in 4-dimensional Euclidean space. In this study, we define quaternionic Mannheim curves and we give some characterizations of them in Euclidean 3-space and 4-space.

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