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On curves in 3-dimensional normal almost contact metric manifolds
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2020-10-07 , DOI: 10.1142/s0219887821500043
Abdullah Yıldırım 1
Affiliation  

The characterization of curves plays an important role in both geometry and topology of almost contact manifolds. Olszak found the equation [Formula: see text] on normal almost contact manifolds. The pair [Formula: see text] denotes the type of these manifolds. In this study, we obtained the curvatures of non-geodesic Frenet curves on [Formula: see text]-dimensional normal almost contact manifolds without neglecting [Formula: see text] and [Formula: see text], and provided the results of their characterization. We exemplified these results with examples.

中文翻译:

关于 3 维法线几乎接触度量流形中的曲线

曲线的表征在几乎接触流形的几何和拓扑中都起着重要作用。Olszak 在法线几乎接触流形上找到了方程 [公式:见正文]。对 [公式:见正文] 表示这些流形的类型。在这项研究中,我们在不忽略[公式:见文本]和[公式:见文本]的情况下,获得了[公式:见文本]维法线几乎接触流形上非测地线Frenet曲线的曲率,并提供了它们的表征结果. 我们举例说明了这些结果。
更新日期:2020-10-07
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