Spherical indicatrices of a Bertrand curve in three dimensional Lie groups

Authors : Ali ÇAKMAK, Sezai KIZILTUĞ

Pages : 1930-1938

Doi:10.31801/cfsuasmas.571964

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Publication Date : 2019-08-01

Article Type : Research Paper

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