Geometric 3-space and multiplicative quaternions

被引：5

作者：

Aslan, Selahattin ^{[1
]}

Bekar, Murat ^{[2
]}

Yayli, Yusuf ^{[1
]}

机构：

[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkiye

[2] Gazi Univ, Dept Math Educ, Ankara, Turkiye

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 09期

关键词：

Geometric; 3-space; multiplicative quaternions; geometric angle; geometric circle; geometric sphere; geometric rotation;

D O I：

10.1142/S0219887823501517

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we introduce a new vector space, the three-dimensional geometric real vector space Double-struck capital R-3(G), and a new number system, multiplicative quaternions H(G). We give some basic algebraic properties of these concepts. We define spatial rotation in Double-struck capital R(3()G) by using multiplicative quaternions. Finally, we give an example to illustrate our results.

引用

页数：17

共 29 条

[1] HAMILTON OPERATORS AND DUAL-NUMBER-QUATERNIONS IN SPATIAL KINEMATICS [J].