Topological properties of mappings with finite distortion on carnot groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 1, Pages: 48-61 Pages count : 14 DOI: 10.1134/S0037446624010063 | ||
| Tags | Carnot group, mapping with finite distortion, quasilightness, openness, discreteness | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Mathematical Center in Akademgorodok | 075-15-2022-282 |
Abstract:
We prove that every mapping with finite distortion on a Carnot group is open and discrete provided that it is quasilight and the distortion coefficient is integrable. Also, we estimate the Hausdorff dimension of the preimages of points for mappings on a Carnot group with a bounded multiplicity function and summable distortion coefficient. Furthermore, we give some example showing that the obtained estimates cannot be improved.
Cite:
Isangulova D.V.
Topological properties of mappings with finite distortion on carnot groups
Siberian Mathematical Journal. 2024. V.65. N1. P.48-61. DOI: 10.1134/S0037446624010063 WOS Scopus РИНЦ OpenAlex
Topological properties of mappings with finite distortion on carnot groups
Siberian Mathematical Journal. 2024. V.65. N1. P.48-61. DOI: 10.1134/S0037446624010063 WOS Scopus РИНЦ OpenAlex
Original:
Исангулова Д.В.
Топологические свойства отображений с конечным искажением на группах Карно
Сибирский математический журнал. 2024. Т.65. №1. С.57-73. DOI: 10.33048/smzh.2024.65.106 РИНЦ
Топологические свойства отображений с конечным искажением на группах Карно
Сибирский математический журнал. 2024. Т.65. №1. С.57-73. DOI: 10.33048/smzh.2024.65.106 РИНЦ
Dates:
| Submitted: | Sep 14, 2023 |
| Accepted: | Nov 28, 2023 |
| Published print: | Feb 7, 2024 |
| Published online: | Feb 7, 2024 |
Identifiers:
| Web of science: | WOS:001158248700011 |
| Scopus: | 2-s2.0-85184421008 |
| Elibrary: | 66081113 |
| OpenAlex: | W4391604058 |
Citing:
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