Graphs of Mappings of Engel Groups and a Criterion for Their Intrinsic Lipschitz Property Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 4, Pages: 811-831 Pages count : 17 DOI: 10.1134/s0037446626040075 | ||
| Tags | Lipschitz mapping, intrinsic metric, graph mapping, Engel group, three-step Carnot group | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
For classes of mappings of Engel groups, we establish a criterion for the intrinsic, i.e., sub-Riemannian, Lipschitz property of the graphs constructed by these mappings. Moreover, we obtain a complete description of three-step Carnot groups of a special form that admit the existence of images of intrinsically Lipschitz graphs on them. Several examples of structures and mappings are presented.
Cite:
Karmanova M.B.
Graphs of Mappings of Engel Groups and a Criterion for Their Intrinsic Lipschitz Property
Siberian Mathematical Journal. 2026. V.67. N4. P.811-831. DOI: 10.1134/s0037446626040075 WOS Scopus РИНЦ OpenAlex
Graphs of Mappings of Engel Groups and a Criterion for Their Intrinsic Lipschitz Property
Siberian Mathematical Journal. 2026. V.67. N4. P.811-831. DOI: 10.1134/s0037446626040075 WOS Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Графики отображений групп Энгеля и критерий их внутренней липшицевости
Сибирский математический журнал. 2026. Т.67. №4. С.650-673. DOI: 10.33048/smzh.2026.67.407 РИНЦ
Графики отображений групп Энгеля и критерий их внутренней липшицевости
Сибирский математический журнал. 2026. Т.67. №4. С.650-673. DOI: 10.33048/smzh.2026.67.407 РИНЦ
Dates:
| Submitted: | Apr 14, 2026 |
| Accepted: | Apr 23, 2026 |
| Published online: | Jul 30, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001837323400020 |
| ≡ Scopus: | 2-s2.0-105046281392 |
| ≡ Elibrary: | 91863794 |
| ≡ OpenAlex: | W7171854537 |