欧氏空间中光滑曲面上整流曲线的一些性质

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2021-04-07 DOI:10.47743/anstim.2022.00001

A. Yadav, B. Pal

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引用次数: 1

摘要

本文利用Darboux框架{T，P，U}，研究了浸入欧氏空间的光滑表面上的整流曲线在等距条件下保持不变的充分条件。此外，我们还发现了光滑表面上整流曲线的位置向量沿着任意切线向量T=aφu+bφv相对于等距线的偏差。我们还发现了光滑表面上的整流曲线的位置向量沿着曲面的单位法线U和沿着P（=U×T）相对于等距的偏差。2020年数学学科分类：53A04、53A05、53A15。

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Some characterizations of rectifying curves on a smooth surface in Euclidean 3-space

In this paper, we investigate sufficient condition for the invariance of a rectifying curve on a smooth surface immersed in Euclidean 3-space under isometry by using Darboux frame {T, P,U}. Further, we find the deviations of the position vector of a rectifying curve on the smooth surface along any tangent vector T = aφu + bφv with respect to the isometry. We also find the deviations of the position vector of a rectifying curve on the smooth surface along the unit normal U to the surface and along P (= U × T ) with respect to the isometry. Mathematics Subject Classification 2020: 53A04, 53A05, 53A15.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.