论文标题
NULL $φ$ -SLANT曲线在主要三维正常类别几乎接触B-近似歧管中
Null $φ$-Slant Curves in a Main Class of 3-Dimensional Normal Almost Contact B-Metric Manifolds
论文作者
论文摘要
我们在几乎接触b-intric的歧管中引入了一种新型的倾斜曲线，称为$φ$ - 斜体曲线，该曲线是针对这些歧管的附加条件。在本文中，我们研究了$φ$ - 倾斜的无效曲线，在一组三维正常接触B-近距离歧管中，证明对于它们的非晶格而言，存在一个独特的FRENET框架，为其区分了原始参数。我们研究了一些$φ$ - 倾斜的空曲线，并在歧管上的相关B-列中，并找到相应的Frenet帧和曲线之间的关系。我们在三维谎言组中构建检查的曲线，并给出其矩阵表示。
We introduce a new type of slant curves in almost contact B-metric manifolds, called $φ$-slant curves, by an additional condition which is specific for these manifolds. In this paper we study $φ$-slant null curves in a class of 3-dimensional normal almost contact B-metric manifolds and prove that for non-geodesic of them there exists a unique Frenet frame for which the original parameter is distinguished. We investigate some of $φ$-slant null curves and with respect to the associated B-metric on the manifold and find relationships between the corresponding Frenet frames and curvatures. We construct the examined curves in a 3-dimensional Lie group and give their matrix representation.
