Smarandache Curves in three dimensional Lie groups

Abstract

In this paper, we introduce special Smarandache curves and obtain Frenet apparatus of a Smarandache curve in three dimensional Lie groups with a bi-invariant metric. Moreover, we give some relations between a helix or a slant helix curve and its Smarandache curve in three dimensional Lie groups.

Keywords

• Smarandache curves,Lie groups,helices.

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