On Lipschitz Continuous Compositions of Mappings onTwo-Step Carnot Groups Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
||
|---|---|---|---|
| Output data | Year: 2026, Volume: 36, Number: 1, Pages: 43-58 Pages count : 16 DOI: 10.1134/s1055134426010049 | ||
| Tags | Lipschitz continuous mapping, intrinsic metric, composition of mappings, twostep Carnot group | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
We consider the composition (or chain) operation on mappings of two-step Carnot groups and explicitly derive properties of mappings that guarantee that their composition is a Lipschitz continuous mapping. We present examples and consider an important case in which one of mappings is a projection.
Cite:
Karmanova M.B.
On Lipschitz Continuous Compositions of Mappings onTwo-Step Carnot Groups
Siberian Advances in Mathematics. 2026. V.36. N1. P.43-58. DOI: 10.1134/s1055134426010049 Scopus OpenAlex
On Lipschitz Continuous Compositions of Mappings onTwo-Step Carnot Groups
Siberian Advances in Mathematics. 2026. V.36. N1. P.43-58. DOI: 10.1134/s1055134426010049 Scopus OpenAlex
Original:
Карманова М.Б.
О липшицевости композиций отображений на двухступенчатых группах Карно
Математические труды. 2025. Т.28. №4. С.79-104. DOI: 10.25205/1560-750X-2025-28-4-79-104
О липшицевости композиций отображений на двухступенчатых группах Карно
Математические труды. 2025. Т.28. №4. С.79-104. DOI: 10.25205/1560-750X-2025-28-4-79-104
Dates:
| Submitted: | Oct 10, 2025 |
| Accepted: | Nov 5, 2025 |
| Published online: | Jun 15, 2026 |
Identifiers:
| ≡ Scopus: | 2-s2.0-105041787385 |
| ≡ OpenAlex: | W7164824880 |