An Example of a Lipschitz Graph Mapping of Engel Groups and an Area Formula Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 5, Pages: 1116-1128 Pages count : 13 DOI: 10.1134/s0037446626050113 | ||
| Tags | intrinsic metric | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
For Lipschitz graph mappings defined on an Engel group, we establish an explicit form of the sub-Riemannian differential and derive an explicit form of the area formula. We present an example of a nontrivial mapping of Engel groups whose graph mapping is intrinsically Lipschitz as a mapping of three-step Carnot groups.
Cite:
Karmanova M.B.
An Example of a Lipschitz Graph Mapping of Engel Groups and an Area Formula
Siberian Mathematical Journal. 2026. V.67. N5. P.1116-1128. DOI: 10.1134/s0037446626050113 WOS Scopus OpenAlex
An Example of a Lipschitz Graph Mapping of Engel Groups and an Area Formula
Siberian Mathematical Journal. 2026. V.67. N5. P.1116-1128. DOI: 10.1134/s0037446626050113 WOS Scopus OpenAlex
Original:
Карманова М.Б.
Пример липшицева графика отображений групп Энгеля и формула площади
Сибирский математический журнал. 2026. Т.67. №5. С.903-917. DOI: 10.33048/smzh.2026.67.511
Пример липшицева графика отображений групп Энгеля и формула площади
Сибирский математический журнал. 2026. Т.67. №5. С.903-917. DOI: 10.33048/smzh.2026.67.511
Dates:
| Submitted: | Jul 31, 2026 |
| Accepted: | Aug 11, 2026 |
| Published print: | Sep 24, 2026 |
| Published online: | Sep 24, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001885470600004 |
| ≡ Scopus: | 2-s2.0-105051539417 |
| ≡ OpenAlex: | W7214217227 |