Sub-Riemannian Properties of Level Sets of Non-Contact Mappings of Heisenberg Group Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2023, Volume: 33, Number: 1, Pages: 28-38 Pages count : 11 DOI: 10.1134/S1055134423010030 | ||
| Tags | Heisenberg group, level set, coarea formula | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We consider a model example of noncontact mappings of Heisenberg groups where the dimension of the source space is greater than the dimension of the target space. We derive metric properties of level surfaces and prove an analog of the coarea formula.
Cite:
Karmanova M.B.
Sub-Riemannian Properties of Level Sets of Non-Contact Mappings of Heisenberg Group
Siberian Advances in Mathematics. 2023. V.33. N1. P.28-38. DOI: 10.1134/S1055134423010030 Scopus РИНЦ OpenAlex
Sub-Riemannian Properties of Level Sets of Non-Contact Mappings of Heisenberg Group
Siberian Advances in Mathematics. 2023. V.33. N1. P.28-38. DOI: 10.1134/S1055134423010030 Scopus РИНЦ OpenAlex
Original:
Карманова М.Б.
Субримановы свойства множеств уровня неконтактных отображений групп Гейзенберга
Математические труды. 2022. Т.25. №2. С.107-125. DOI: 10.33048/mattrudy.2022.25.204 РИНЦ
Субримановы свойства множеств уровня неконтактных отображений групп Гейзенберга
Математические труды. 2022. Т.25. №2. С.107-125. DOI: 10.33048/mattrudy.2022.25.204 РИНЦ
Dates:
| Submitted: | Jun 20, 2022 |
| Accepted: | Sep 27, 2022 |
| Published print: | Mar 24, 2023 |
| Published online: | Mar 24, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85150980864 |
| Elibrary: | 61170133 |
| OpenAlex: | W4360879515 |