The Beckman-Quarles theorem in hyperbolic geometry (Q2034596)
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scientific article; zbMATH DE number 7362000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Beckman-Quarles theorem in hyperbolic geometry |
scientific article; zbMATH DE number 7362000 |
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The Beckman-Quarles theorem in hyperbolic geometry (English)
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22 June 2021
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Summary: In this paper, we present the counterpart of the Beckman-Quarles theorem in the Poincaré disc model of hyperbolic geometry to characterize the gyroisometries (hyperbolic isometries) with a single nonzero distance \(a\in (0,1)\) satisfying \(a^2\in\mathbb{Q}\).
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