严格Walker 3流形中的双调和曲线

Int. J. Math. Math. Sci. Pub Date : 2022-02-22 DOI:10.1155/2022/3855033

Mamadou Gningue, A. Ndiaye, Rénovat Nkunzimana

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引用次数: 1

摘要

本文研究了严格Walker 3流形中双调和曲线的几何性质，分别得到了双调和曲线和类时双调和曲线的显式参数方程。讨论了沃克流形中速度曲线为斜螺旋的条件。我们给出了一个双谐波曲线的例子来说明主要结果。

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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Biharmonic Curves in a Strict Walker 3-Manifold

In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result.

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Int. J. Math. Math. Sci.

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