Foertsch, Thomas; Schroeder, Viktor (2013). Metric Möbius geometry and a characterization of spheres. Manuscripta Mathematica, 140(3-4):613-620.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | March 2013 |
| Deposited On: | 27 Dec 2013 13:22 |
| Last Modified: | 10 Nov 2023 02:44 |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00229-012-0555-0 |
Foertsch, Thomas