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Spherical Indicatrices of a Bertrand Curve in Three Lie Groups

Differential Geometry 2018-01-11 v1

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 obtain and the relations between the spherical indicatrices and new representations of Bertrand curve pair are shown.

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Cite

@article{arxiv.1801.03368,
  title  = {Spherical Indicatrices of a Bertrand Curve in Three Lie Groups},
  author = {Ali Çakmak},
  journal= {arXiv preprint arXiv:1801.03368},
  year   = {2018}
}

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12 pages