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Mannheim partner curves in 3-space
Authors:Huili Liu  Fan Wang
Institution:(1) Department of Mathematics, Northeastern University, Shenyang, 110004, P. R. China;(2) Department of Mathematics, Nanjing Agricultural University, Nanjing, 210095, P. R. China
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. Supported by NSFC, No.10371013; Joint Research of NSFC and KOSEF, NEU
Keywords:53A04  53B30
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