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.
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页数：17
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