Email this article Generalized Angles in Ptolemaic Möbius Structures
- Authors: Aseev V.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 2 (2018)
- Pages: 189-201
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171726
- DOI: https://doi.org/10.1134/S0037446618020015
- ID: 171726
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Abstract
We show that each Ptolemaic semimetric is Möbius-equivalent to a bounded metric. Introducing generalized angles in Ptolemaic Möbius structures, we study the class of multivalued mappings F: X → 2Y with a lower bound on the distortion of generalized angles. We prove that the inverse mapping to the coordinate function of a quasimeromorphic automorphism of ℝ̅n lies in this class.
About the authors
V. V. Aseev
Sobolev Institute of Mathematics
Author for correspondence.
Email: btp@math.nsc.ru
Russian Federation, Novosibirsk
