On algebraic endomorphisms of the Einstein gyrogroup
classification
🧮 math-ph
math.MP
keywords
algebraiceinsteinendomorphismsmathbbtransformationadditionballcontinuous
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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 $\mathbb{R}^3$.
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