Metric Properties of Mappings Defining Lipschitz Graphs on Two-Step Carnot Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 6, Pages: 1422-1433 Pages count : 12 DOI: 10.1134/s0037446625060096 | ||
| Tags | Lipschitz mapping, intrinsic metric, graph mapping, sub-Riemannian differential, 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:
An explicit form of sub-Riemannian differentials of graph mappings that are Lipschitz in
the intrinsic sense on two-step Carnot groups is derived, and the differential and metric properties of
mappings defining such graphs are described.
Cite:
Karmanova M.B.
Metric Properties of Mappings Defining Lipschitz Graphs on Two-Step Carnot Groups
Siberian Mathematical Journal. 2025. V.66. N6. P.1422-1433. DOI: 10.1134/s0037446625060096 WOS Scopus РИНЦ OpenAlex
Metric Properties of Mappings Defining Lipschitz Graphs on Two-Step Carnot Groups
Siberian Mathematical Journal. 2025. V.66. N6. P.1422-1433. DOI: 10.1134/s0037446625060096 WOS Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Метрические свойства отображений, задающих липшицевы графики на двухступенчатых группах Карно
Сибирский математический журнал. 2025. Т.66. №6. С.1094-1107. DOI: 10.33048/smzh.2025.66.609 РИНЦ
Метрические свойства отображений, задающих липшицевы графики на двухступенчатых группах Карно
Сибирский математический журнал. 2025. Т.66. №6. С.1094-1107. DOI: 10.33048/smzh.2025.66.609 РИНЦ
Dates:
| Submitted: | Jul 28, 2025 |
| Accepted: | Sep 7, 2025 |
| Published print: | Nov 24, 2025 |
| Published online: | Nov 24, 2025 |
Identifiers:
| Web of science: | WOS:001622319900005 |
| Scopus: | 2-s2.0-105022751580 |
| Elibrary: | 84013587 |
| OpenAlex: | W7106529485 |
Citing:
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