Noncontact Mappings of General Carnot Groups and a Coarea Formula Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 4, Pages: 952-973 Pages count : 22 DOI: 10.1134/s0037446625040081 | ||||
| Tags | Carnot group, level set, Hausdorff dimension, coarea formula | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | 075-15-2025-349 |
Abstract:
A coarea formula is established for mappings of Carnot groups of arbitrary depth. One of the key properties is the description of the relationship between Hausdorff measures constructed using sub-Riemannian and Riemannian quasimetric structures.
Cite:
Karmanova M.B.
Noncontact Mappings of General Carnot Groups and a Coarea Formula
Siberian Mathematical Journal. 2025. V.66. N4. P.952-973. DOI: 10.1134/s0037446625040081 WOS Scopus РИНЦ OpenAlex
Noncontact Mappings of General Carnot Groups and a Coarea Formula
Siberian Mathematical Journal. 2025. V.66. N4. P.952-973. DOI: 10.1134/s0037446625040081 WOS Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Неконтактные отображения общих групп Карно и формула коплощади
Сибирский математический журнал. 2025. Т.66. №4. С.643-668. DOI: 10.33048/smzh.2025.66.408 РИНЦ
Неконтактные отображения общих групп Карно и формула коплощади
Сибирский математический журнал. 2025. Т.66. №4. С.643-668. DOI: 10.33048/smzh.2025.66.408 РИНЦ
Dates:
| Submitted: | Aug 1, 2024 |
| Accepted: | Jun 15, 2025 |
| Published print: | Jul 23, 2025 |
| Published online: | Jul 23, 2025 |
Identifiers:
| Web of science: | WOS:001535187000011 |
| Scopus: | 2-s2.0-105011289298 |
| Elibrary: | 82650979 |
| OpenAlex: | W4412610015 |
Citing:
Пока нет цитирований