三维李群中的广义Bertrand和Mannheim曲线

Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-10 DOI:10.33401/fujma.1127839

O. Okuyucu, Bahar Doğan Yazıcı

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引用次数: 1

摘要

本文给出了双不变度量的三维李群中的Bertrand和Mannheim曲线的一种新方法。通过这种方法，给出了三维欧几里得空间和三维李群中曲线为Bertrand曲线或Mannheim曲线的一些条件，包括已知的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Bertrand and Mannheim Curves in 3D Lie Groups

In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups with bi-invariant metric. By the this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in 3D Euclidean space and in 3D Lie groups.

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Fundamental Journal of Mathematics and Applications

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