通过自然匹配曲线获得的直纹曲面

IF 0.4 Q4 MATHEMATICS

Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-23 DOI:10.5269/bspm.51670

Fatma Güler

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引用次数: 0

摘要

r的自然匹配曲线r1定义为曲线r的主法向量与任何参数s的积分。我们得到了该曲面为可展极小直纹曲面的一些必要条件。研究了直纹曲面上基曲线的渐近曲线和测地线。并举例说明了我们的主要结果。

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The ruled surface obtained by the natural mate curve

The natural mate curve r1 of r is deﬁned the integral of principal normal vector with any parameter s, of a curve r. We investigate the ruled surface generated by the natural mate curve of any Frenet curve r = r(s) in the Euclidean 3-space. We obtained some necessary and suﬃcient conditions for this surface to be developable and minimal ruled surface. We research related to be the asymptotic curve and the geodesic curve of the base curve on the ruled surface. Example of our main results are also presented.

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来源期刊

Boletim Sociedade Paranaense de Matematica MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

140

审稿时长

25 weeks