Abstract

In this paper, we define Mannheim partner curves in a three dimensional Lie group G with a bi-invariant metric. The main result of the paper is given as (Theorem 4): A curve WI R!G with the Frenet apparatusfT;N;B;; g is a Mannheim partner curve if and only if 1CH 2 D1 where , are constants andH is the harmonic curvature function of the curve: 2010 Mathematics Subject Classification: 53A04; 22E15

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