在$E^{3}$中的直纹曲面的类平行曲面上的曲线上

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-07-02 DOI:10.31801/cfsuasmas.1187854

Semra YURTTANÇIKMAZ

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引用次数: 0

摘要

本文研究了E^{3}$中直纹曲面$M$的类平行曲面$M^{f}$上的曲线。利用类平行曲面的定义，得到了直纹曲面的类平行曲面和基面准线曲线的像曲线的参数表达式。在此基础上，分别得到了曲面$M$和曲面$M^{f}$上曲线的达布坐标系，并比较了它们的测地线曲率、法线曲率和测地线扭转。

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On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

In this paper, it has been researched curves lying on parallel-like surfaces $M^{f}$ of the ruled surface $M$ in $E^{3}$. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces $M$ and $M^{f}$, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.

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

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