闵科夫斯基空间 $e_{1}^{3}$ 中具有 $f$ 恒定向量场的时间螺旋的一些特征｝

Advances in Mathematics: Scientific Journal Pub Date : 2024-07-03 DOI:10.37418/amsj.13.3.1

Derya Sa˘glam, Duygu Bada

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引用次数: 0

摘要

本文给出了闵科夫斯基空间 $E_{1}^{3}$中时间类法线螺旋、整流螺旋和弧形螺旋的特征。此外，我们还研究了轴线 $U$ 垂直于 $F$ 恒定矢量场 $X$ 的时间类螺旋的特征，这是这些螺旋的一般化。

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SOME CHARACTERIZATIONS OF TIMELIKE HELICES WITH THE $F$-CONSTANT VECTOR FIELD IN MINKOWSKI SPACE $E_{1}^{3}$}

In this paper we give characterizations of timelike normal, rectifying and osculating helices in Minkowski space $E_{1}^{3}.$ Moreover, we examine the characterization of timelike helices whose axis $U$\ perpendicular to the $F$-constant vector field $X$, which is a generalization of these helices$.$

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Advances in Mathematics: Scientific Journal

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