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Matematicheskie Trudy, 2022, Volume 25, Number 2, Pages 107–125
DOI: https://doi.org/10.33048/mattrudy.2022.25.204 (Mi mt670) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia
Full-text PDF (277 kB) Citations (4)
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DOI: https://doi.org/10.33048/mattrudy.2022.25.204
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.
Key words: Heisenberg group, level set, coarea formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-281
The work is supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 075-15-2022-281).
Received: 20.06.2022
Revised: 26.09.2022
Accepted: 02.11.2022
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 1, Pages 28–38
DOI: https://doi.org/10.1134/S1055134423010030
Document Type: Article
UDC: 517.518.1
Language: Russian
Citation: M. B. Karmanova, “Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups”, Mat. Tr., 25:2 (2022), 107–125; Siberian Adv. Math., 33:1 (2023), 28–38
Citation in format AMSBIB
\Bibitem{Kar22}
\by M.~B.~Karmanova
\paper Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups
\jour Mat. Tr.
\yr 2022
\vol 25
\issue 2
\pages 107--125
\mathnet{http://mi.mathnet.ru/mt670}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 1
\pages 28--38
\crossref{https://doi.org/10.1134/S1055134423010030}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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