Open Access

The Möbius-Pompeïu metric property

Journal of Inequalities and Applications20062006:83206

DOI: 10.1155/JIA/2006/83206

Received: 17 September 2004

Accepted: 27 June 2005

Published: 7 May 2006


We consider an extension of Möbius-Pompeïu theorem of the elementary geometry over metric spaces. We specially take into consideration Ptolemaic metric spaces.


Authors’ Affiliations

Faculty of Electrical Engineering, University of Belgrade


  1. Hästö PA: A new weighted metric: the relative metric. I. Journal of Mathematical Analysis and Applications 2002,274(1):38–58. 10.1016/S0022-247X(02)00219-6MathSciNetView ArticleMATHGoogle Scholar
  2. Mitrinović DS, Pečarić JE, Volenec V: History, variations and generalizations of the Möbius-Neuberg theorem and the Möbius-Pompeiu theorem. Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 1987,31(79)(1):25–38.Google Scholar
  3. Mitrinović DS, Pečarić JE, Volenec V: Recent advances in geometric inequalities. In The Möbius-Neuberg and the Möbius-Pompeïu Theorems. Kluwer Academic, Dordrecht; 1989:385–400. chapter 13 chapter 13Google Scholar


© Branko J. Malešević 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.