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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 3, Pages 587–612
DOI: https://doi.org/10.33048/smzh.2022.63.309 (Mi smj7679) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Sub-Lorentzian coarea formula for mappings of Carnot groups

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (455 kB) Citations (5)
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DOI: https://doi.org/10.33048/smzh.2022.63.309
Abstract: Considering the class of contact mappings of Carnot groups with a multidimensional sub-Lorentzian structure on the preimages, we prove that the tangent plane approximates the level sets to a higher order than in the classical case. We also obtain a coarea formula for such mappings with a sub-Lorentzian measure on the level sets.
Keywords: Carnot group, sub-Lorentzian structure, approximation order, level set, sub-Lorentzian measure, coarea formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-281
The author was supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–281 on 05.04.2022 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 26.07.2021
Revised: 29.10.2021
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 3, Pages 485–508
DOI: https://doi.org/10.1134/S0037446622030090
Document Type: Article
UDC: 517.518.1
MSC: 35R30
Language: Russian
Citation: M. B. Karmanova, “Sub-Lorentzian coarea formula for mappings of Carnot groups”, Sibirsk. Mat. Zh., 63:3 (2022), 587–612; Siberian Math. J., 63:3 (2022), 485–508
Citation in format AMSBIB
\Bibitem{Kar22}
\by M.~B.~Karmanova
\paper Sub-Lorentzian coarea formula for mappings of Carnot groups
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 3
\pages 587--612
\mathnet{http://mi.mathnet.ru/smj7679}
\crossref{https://doi.org/10.33048/smzh.2022.63.309}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 485--508
\crossref{https://doi.org/10.1134/S0037446622030090}
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    • This publication is cited in the following 5 articles:
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