On the composition of finite rotations in 𝔼⁴

2015/04/14 by Alex Goldvard, Goldvard, Alex, Lavi Karp +1
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Geometric and Algebraic Topology #Mathematics and Applications #math.GM

paper · pdf · doi:10.48550/arxiv.1504.03717

openalex publication_date 2015/04/14 · arxiv created 2015/08/23 · arxiv updated 2015/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 𝔼⁴ to be a simple rotation.

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