Geometric 3-space and multiplicative quaternions-Reference-Cited by-同舟云学术

Geometric 3-space and multiplicative quaternions

Published:2023-04-06 Issue:09 Volume:20 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Aslan Selahattin¹^ORCID,Bekar Murat²,Yayli Yusuf¹

Affiliation:

1. Department of Mathematics, Ankara University, 06100 Ankara, Turkey

2. Department of Mathematics Education, Gazi University Ankara, Turkey

Abstract

In this paper, we introduce a new vector space, the three-dimensional geometric real vector space [Formula: see text], and a new number system, multiplicative quaternions [Formula: see text]. We give some basic algebraic properties of these concepts. We define spatial rotation in [Formula: see text] by using multiplicative quaternions. Finally, we give an example to illustrate our results.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887823501517

Reference29 articles.

1. Hamilton operators and dual-number-quaternions in spatial kinematics

2. Canal Surfaces with Quaternions

3. Ruled surfaces constructed by quaternions

4. Motions on curves and surfaces using geometric algebra

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