Open Access
2015 On the Composition of Finite Rotations in $\mathbb{E}^4$
Alex Goldvard, Lavi Karp
J. Geom. Symmetry Phys. 39: 33-43 (2015). DOI: 10.7546/jgsp-39-2015-33-43

Abstract

We achieve compositions rules for the geometric parameters of the composed rotations, which is in a certain sense analogous to the well known Rodrigues formula. We also obtain a necessary and sufficient condition for a composition of two simple rotations in $\mathbb{E}^4$ to be a simple rotation.

Citation

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Alex Goldvard. Lavi Karp. "On the Composition of Finite Rotations in $\mathbb{E}^4$." J. Geom. Symmetry Phys. 39 33 - 43, 2015. https://doi.org/10.7546/jgsp-39-2015-33-43

Information

Published: 2015
First available in Project Euclid: 27 May 2017

zbMATH: 1342.51021
MathSciNet: MR3444884
Digital Object Identifier: 10.7546/jgsp-39-2015-33-43

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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