Metric Möbius geometry and a characterization of spheres

Foertsch, Thomas; Schroeder, Viktor (2013). Metric Möbius geometry and a characterization of spheres. Manuscripta Mathematica, 140(3-4):613-620.

Abstract

We obtain a Möbius characterization of the n-dimensional spheres Sn endowed with the chordal metric d0. We show that every compact extended Ptolemy metric space with the property that every three points are contained in a circle is Möbius equivalent to (Sn, d0) for some n ≥ 1.

Abstract

We obtain a Möbius characterization of the n-dimensional spheres Sn endowed with the chordal metric d0. We show that every compact extended Ptolemy metric space with the property that every three points are contained in a circle is Möbius equivalent to (Sn, d0) for some n ≥ 1.

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