Open AccessThe Beckman–Quarles Theorem in Hyperbolic Geometry
Author(s) -
Oğuzhan Demirel,
Damla Topal,
Leyla Aslan
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/5552198
Subject(s) - mathematics , hyperbolic geometry , geometry , pure mathematics , algebra over a field , algebraic geometry
In this paper, we present the counterpart of the Beckman–Quarles theorem in the Poincare disc model of hyperbolic geometry to characterize the gyroisometries (hyperbolic isometries) with a single nonzero distance satisfying .
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