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Mannheim partner curves in 3-space

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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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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Shenyang, 110004, P. R. China

    Huili Liu

  2. Department of Mathematics, Nanjing Agricultural University, Nanjing, 210095, P. R. China

    Fan Wang

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  1. Huili Liu
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  2. Fan Wang
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Correspondence to Huili Liu.

Additional information

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

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