The Beckman–Quarles Theorem in Hyperbolic Geometry

OÄŸuzhan Demirel, Damla Topal, Leyla Aslan and Antonio Masiello

Journal of Mathematics, 2021, vol. 2021, 1-4

Abstract: 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∈0,1 satisfying a2∈ℚ.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5552198

DOI: 10.1155/2021/5552198

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