Geodesic
A Beckman-Quarles Type Theorem for Coxeter's Inversive Distance
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 492-498

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DOI

We prove that a bijective transformation on the set of circles in the real inversive plane which preserves pairs of circles a fixed inversive distance ρ > 0 apart must be induced by a Möbius transformation.
DOI : 10.4153/CMB-1991-079-6
Mots-clés : 51B10 
Lester, J. A. A Beckman-Quarles Type Theorem for Coxeter's Inversive Distance. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 492-498. doi: 10.4153/CMB-1991-079-6
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     author = {Lester, J. A.},
     title = {A {Beckman-Quarles} {Type} {Theorem} for {Coxeter's} {Inversive} {Distance}},
     journal = {Canadian mathematical bulletin},
     pages = {492--498},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-079-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-079-6/}
}
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