Spherical indicatrices of a Bertrand curve in three dimensional Lie groups

Year 2019, Volume: 68 Issue: 2, 1930 - 1938, 01.08.2019

Ali Çakmak , Sezai Kızıltuğ

https://doi.org/10.31801/cfsuasmas.571964

Abstract

In this paper, new representations of a Bertrand curve pair in three dimensional Lie groups with bi-invariant metric are given. Besides, the spherical indicatrices of a Bertrand curve pair are obtained and the relations between the spherical indicatrices and new representations of Bertrand curve pair are shown.

Keywords

Lie group, Bertrand curve, spherical indicatrix

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