Abstract.
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.
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Supported by NSFC, No.10371013; Joint Research of NSFC and KOSEF, NEU
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Liu, H., Wang, F. Mannheim partner curves in 3-space. J. geom. 88, 120–126 (2008). https://doi.org/10.1007/s00022-007-1949-0
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DOI: https://doi.org/10.1007/s00022-007-1949-0