Lipschitz Graphs on Classes of Two-Step Carnot Groups Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 5, Pages: 1195–1211 Pages count : 17 DOI: 10.1134/S003744662505009X | ||
| Tags | Lipschitz mapping, intrinsic metric, graph mapping, two-step Carnot group | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
We consider two-step Carnot groups and their model cases and study the existence of graph mappings on them that are Lipschitz in the intrinsic sense. For the general case of two-step Carnot groups, a criterion for the Lipschitz property of a graph mapping is derived in terms of the mapping that models this graph. Examples are given that demonstrate the specificity of the necessary and sufficient conditions established.
Cite:
Karmanova M.B.
Lipschitz Graphs on Classes of Two-Step Carnot Groups
Siberian Mathematical Journal. 2025. V.66. N5. P.1195–1211. DOI: 10.1134/S003744662505009X WOS Scopus РИНЦ
Lipschitz Graphs on Classes of Two-Step Carnot Groups
Siberian Mathematical Journal. 2025. V.66. N5. P.1195–1211. DOI: 10.1134/S003744662505009X WOS Scopus РИНЦ
Original:
Карманова М.Б.
О липшицевых графиках на классах двухступенчатых групп Карно
Сибирский математический журнал. 2025. Т.66. №5. С.882-900. DOI: 10.33048/smzh.2025.66.509
О липшицевых графиках на классах двухступенчатых групп Карно
Сибирский математический журнал. 2025. Т.66. №5. С.882-900. DOI: 10.33048/smzh.2025.66.509
Dates:
| Submitted: | Mar 26, 2025 |
| Accepted: | Apr 25, 2025 |
| Published print: | Sep 30, 2025 |
| Published online: | Sep 30, 2025 |
Identifiers:
| Web of science: | WOS:001585885200019 |
| Scopus: | 2-s2.0-105017593019 |
| Elibrary: | 82944332 |
Citing:
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