The Beckman-Quarles theorem in hyperbolic geometry

DOI10.1155/2021/5552198zbMath1477.51016OpenAlexW3138546360WikidataQ115521560 ScholiaQ115521560MaRDI QIDQ2034596

Damla Topal, Oğuzhan Demirel, Leyla Aslan

Publication date: 22 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5552198

Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05) Classical or axiomatic geometry and physics (51P05)

Cites Work

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• An elementary proof of the theorem of Beckman and Quarles
• A discrete form of the Beckman-Quarles theorem for rational spaces
• The Beckman-Quarles theorem for rational spaces
• Discrete versions of the Beckman-Quarles theorem
• On Isometries of Euclidean Spaces
• A discrete form of the Beckman-Quarles theorem for rational eight-space

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