四维欧几里德空间中具有公共测地线曲线的超曲面[4]

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-07-10 DOI:10.28924/2291-8639-21-2023-68

S. H. Nazra

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引用次数: 0

摘要

本文讨论了在四维欧几里德空间E4中由给定测地线曲线构造超曲面的问题。利用给定测地线曲线的Serret-Frenet框架，将超曲面表示为该框架的线性组合，并分析了该曲线为测地线的充分必要条件。我们通过一些例子来说明这种方法。

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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Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4

In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be geodesic. We illustrate this method by presenting some examples.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks