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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Foertsch, T; Schroeder, Viktor (2012). Ptolemy circles and Ptolemy segments. Archiv der Mathematik, 98(6):571-581.
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.
Item Type: | Journal Article, not_refereed, original work |
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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: | 08 Sep 2024 01:37 |
Publisher: | Springer |
ISSN: | 0003-889X |
OA Status: | Green |
Publisher DOI: | https://doi.org/10.1007/s00013-012-0398-7 |