Smarandache Curves in three dimensional Lie groups

Year 2019, Volume: 68 Issue: 1, 1175 - 1185, 01.02.2019

O. Zeki Okuyucu , Caner Değirmen Ö. Gökmen Yıldız

https://doi.org/10.31801/cfsuasmas.511677

Cited By: 3

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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