B-Lift曲线及其直纹曲面

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-03-30 DOI:10.31801/cfsuasmas.1074682

Anıl Altinkaya, M. Çalişkan

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引用次数: 0

摘要

在本文中，我们将欧几里得空间中的B-Lift曲线描述为通过组合单位速度曲线的二法线向量的端点而获得的曲线。随后，我们探索了B-Lift曲线的Frenet框架。此外，我们还引入了B-Lift曲线的切线曲面、法线曲面和副法线曲面，并检验了这些曲面的几何不变量。最后，我们研究了这些曲面的奇异性，并用MATLAB程序对这些曲面进行了可视化。

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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B-Lift curves and its ruled surfaces

In this paper, we have described the B-Lift curve in Euclidean space as a curve obtained by combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we have explored the Frenet frames of the B-Lift curves. Moreover, we have introduced the tangent, normal and binormal surfaces of the B-Lift curve and examined the geometric invariants of these surfaces. Finally, we have investigated the singularities of these surface and visualized the surfaces with MATLAB program.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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