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Mannheim partner curves in 3-space. (English) Zbl 1138.53007

Summary: In this paper, we study Mannheim partner curves in three dimensional space. We obtain the necessary and sufficient conditions for the Mannheim partner curves in Euclidean space \({\mathbb{E}}^{3}\) and Minkowski space \({\mathbb{E}}^{3}_{1}\), respectively. Some examples are also given.

MSC:

53A04 Curves in Euclidean and related spaces
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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