Abstract
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we present an example of a metric sphere, which is Mobius equivalent but not homothetic to the standard metric sphere with its chordal metric.
Foertsch, T; Schroeder, Viktor (2012). Ptolemy circles and Ptolemy segments. Archiv der Mathematik, 98(6):571-581.
Abstract
In this paper we characterize Ptolemy circles and Ptolemy segments up to isometry. Moreover, we present an example of a metric sphere, which is Mobius equivalent but not homothetic to the standard metric sphere with its chordal metric.
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| Item Type: | Journal Article, not_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: | June 2012 |
| Deposited On: | 25 Jan 2013 15:34 |
| Last Modified: | 09 Nov 2023 02:40 |
| Publisher: | Springer |
| ISSN: | 0003-889X |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00013-012-0398-7 |
Foertsch, T