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- W3138546360 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 <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi>a</mi> <mo>∈</mo> <mfenced open=( close=) separators=|> <mrow> <mn>0,1</mn> </mrow> </mfenced> </math> satisfying <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <msup> <mrow> <mi>a</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>∈</mo> <mi>ℚ</mi> </math> ." @default.
- W3138546360 created "2021-03-29" @default.
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- W3138546360 date "2021-03-16" @default.
- W3138546360 modified "2023-09-25" @default.
- W3138546360 title "The Beckman–Quarles Theorem in Hyperbolic Geometry" @default.
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- W3138546360 doi "https://doi.org/10.1155/2021/5552198" @default.
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