Generalized Split Quaternions and Their Applications on Non-Parabolic Conical Rotations

被引：0
|
作者：
Duru, Mehmet [1 ]
Colakoglu, Harun Baris [2 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkiye
[2] Akdeniz Univ, Dept Comp Technol, TR-07058 Antalya, Turkiye
来源：
SYMMETRY-BASEL | 2023年 / 15卷 / 09期
关键词：
Lorentzian inner product; Lorentzian vector product; Lorentzian rotation matrix; Lorentzian symmetry; split quaternion;
D O I：
10.3390/sym15091805
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this study, we first generalize the Lorentzian inner and vector products, and then we define the generalized split quaternions by means of the generalized Lorentzian inner and vector products. Next, on any hyperboloid of one or two sheets, which is a generalized Lorentzian sphere, non-parabolic conical rotations with nonnull axes are expressed using the generalized split quaternions with supporting numerical examples.
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页数：14
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