The Multi-Valued Quasimöbius Mappings on the Riemann Sphere Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2023, Volume: 64, Number: 3, Pages: 514–524 Pages count : 11 DOI: 10.1134/S0037446623030023 | ||
| Tags | quasiconformal mapping, mapping with bounded distortion, quasimeromorphic mapping, Ptolemaic characteristic tetrad, continuum of bounded turning, multi-valued mappings of BAD class | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
Suppose that a multi-valued mapping F : D -> 2((C) over bar) of a domain D in the sphere (C) over bar with disjoint images of distinct points boundedly distorts the Ptolemaic characteristic of generalized tetrads (quadruples of disjoint compact sets). Suppose that the image F(x) of each x is an element of D has at most N components, each of which is a continuum of bounded turning. Then F, up to the values at some isolated branch points, is the inverse of a mapping with bounded distortion in the sense of Reshetnyak. In particular, if D = (C) over bar then the left inverse to F is the composition of a quasiconformal automorphism of (C) over bar and a rational function.
Cite:
Aseev V.V.
The Multi-Valued Quasimöbius Mappings on the Riemann Sphere
Siberian Mathematical Journal. 2023. V.64. N3. P.514–524. DOI: 10.1134/S0037446623030023 WOS Scopus РИНЦ OpenAlex
The Multi-Valued Quasimöbius Mappings on the Riemann Sphere
Siberian Mathematical Journal. 2023. V.64. N3. P.514–524. DOI: 10.1134/S0037446623030023 WOS Scopus РИНЦ OpenAlex
Original:
Асеев В.В.
Многозначные квазимебиусовы отображения на римановой сфере
Сибирский математический журнал. 2023. Т.64. №3. С.450-464. DOI: 10.33048/smzh.2023.64.302 РИНЦ
Многозначные квазимебиусовы отображения на римановой сфере
Сибирский математический журнал. 2023. Т.64. №3. С.450-464. DOI: 10.33048/smzh.2023.64.302 РИНЦ
Dates:
| Submitted: | Nov 18, 2022 |
| Accepted: | Feb 21, 2023 |
| Published print: | May 24, 2023 |
| Published online: | May 24, 2023 |
Identifiers:
| Web of science: | WOS:000996393600002 |
| Scopus: | 2-s2.0-85147982830 |
| Elibrary: | 61700482 |
| OpenAlex: | W4377990996 |