The distortion of tetrads under quasimeromorphic mappings of Riemann sphere Full article
| Journal |
Advances in the Theory of Nonlinear Analysis and its Applications
, E-ISSN: 2587-2648 |
||
|---|---|---|---|
| Output data | Year: 2023, Volume: 7, Number: 1, Pages: 189-194 Pages count : 6 DOI: 10.31197/atnaa.1249278 | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
On the Riemann sphere, we consider the ptolemaic characteristic of a four of non-empty pairwise nonintersecting compact subsets (generalized tetrad, or generalized angle). We obtain an estimate for distortion of this characteristic under the inverse to a K-quasimeromorphic mapping of the Riemann sphere which takes each of its values at no more then N dierent points. The distortion function in this estimate depends only on K and N. In the case K=1, it is an essentially new property of complex rational functions.
Cite:
Aseev V.V.
The distortion of tetrads under quasimeromorphic mappings of Riemann sphere
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N1. P.189-194. DOI: 10.31197/atnaa.1249278 Scopus OpenAlex
The distortion of tetrads under quasimeromorphic mappings of Riemann sphere
Advances in the Theory of Nonlinear Analysis and its Applications. 2023. V.7. N1. P.189-194. DOI: 10.31197/atnaa.1249278 Scopus OpenAlex
Dates:
| Submitted: | Oct 24, 2022 |
| Accepted: | Feb 17, 2023 |
| Published print: | Feb 21, 2023 |
| Published online: | Feb 21, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85148005095 |
| OpenAlex: | W4361196609 |