SPINOR REPRESENTATIONS OF FRAMED CURVES IN THE THREE-DIMENSIONAL LIE GROUPS

被引：1

作者：

Isbilir, Zehra ^{[1
]}

Yazici, Bahar Dogan ^{[2
]}

Tosun, Murat ^{[3
]}

机构：

[1] DUZCE Univ, Dept Math, Fac Arts & Sci, TR-81620 Duzce, Turkiye

[2] Bilecik Seyh Edebali Univ, Dept Math, Fac Sci, TR-11100 Bilecik, Turkiye

[3] Sakarya Univ, Dept Math, Fac Sci, TR-54187 Sakarya, Turkiye

来源：

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2023年 / 21卷 / 01期

关键词：

Spinors; Framed curves; Lie groups; HYPERBOLIC SPINORS; BERTRAND; CONSTRUCTION; MECHANICS; EQUATIONS; GEOMETRY;

D O I：

10.47974/JDSGT-21-1-P14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we determine the spinor representations of special singular curves (framed curves) in the three-dimensional Lie groups with a biinvariant metric. Also, we construct spinor framed equations for some special cases and obtain the relations between the spinor representations of the general frame and adapted frame along the framed curves in the three-dimensional Lie groups. Then, we give some geometric properties and results with respect to them.

引用

页码：61 / 83

页数：23

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