Compositions of Two Mappings on Two-Step Carnot Groups Full article
| Journal |
Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605 |
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| Output data | Year: 2026, Volume: 332, Number: 1, Pages: 108-135 Pages count : 26 DOI: 10.1134/s0081543826600389 | ||||
| Tags | Lipschitz mapping, composition of mappings, graph mapping, two-step Carnot group, area 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:
We study continuously sub-Riemannian differentiable mappings of Carnot groups and construct their compositions according to the graph-mapping principle. For the resulting mappings, we derive analogs of differential properties and an area formula for the image surface.
Cite:
Karmanova M.B.
Compositions of Two Mappings on Two-Step Carnot Groups
Proceedings of the Steklov Institute of Mathematics. 2026. V.332. N1. P.108-135. DOI: 10.1134/s0081543826600389 WOS Scopus РИНЦ OpenAlex
Compositions of Two Mappings on Two-Step Carnot Groups
Proceedings of the Steklov Institute of Mathematics. 2026. V.332. N1. P.108-135. DOI: 10.1134/s0081543826600389 WOS Scopus РИНЦ OpenAlex
Original:
Karmanova M.B.
Композиции двух отображений на двухступенчатых группах Карно
Труды Математического института имени В.А. Стеклова. 2026. Т.332. С.117-145. DOI: 10.4213/tm4525 OpenAlex
Композиции двух отображений на двухступенчатых группах Карно
Труды Математического института имени В.А. Стеклова. 2026. Т.332. С.117-145. DOI: 10.4213/tm4525 OpenAlex
Dates:
| Submitted: | Jul 14, 2025 |
| Accepted: | Dec 8, 2025 |
| Published print: | Jul 23, 2026 |
| Published online: | Jul 23, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001829150200007 |
| ≡ Scopus: | 2-s2.0-105045530949 |
| ≡ Elibrary: | 91841567 |
| ≡ OpenAlex: | W7170192396 |