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On algebraic endomorphisms of the Einstein gyrogroup
- Source :
- J. Math. Phys. 56, 082302 (2015)
- Publication Year :
- 2015
-
Abstract
- We describe the structure of all continuous algebraic endomorphisms of the open unit ball $\mathbf{B}$ of $\mathbb{R}^3$ equipped with the Einstein velocity addition. We show that any nonzero such transformation originates from an orthogonal linear transformation on $\mathbb{R}^3$.
- Subjects :
- Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Math. Phys. 56, 082302 (2015)
- Publication Type :
- Report
- Accession number :
- edsarx.1506.06225
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/1.4927753