Generalized Angles in Ptolemaic Möbius Structures
- Авторы: Aseev V.1
-
Учреждения:
- Sobolev Institute of Mathematics
- Выпуск: Том 59, № 2 (2018)
- Страницы: 189-201
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171726
- DOI: https://doi.org/10.1134/S0037446618020015
- ID: 171726
Цитировать
Аннотация
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.
Об авторах
V. Aseev
Sobolev Institute of Mathematics
Автор, ответственный за переписку.
Email: btp@math.nsc.ru
Россия, Novosibirsk