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Matematicheskie Trudy, 2023, Volume 26, Number 1, Pages 93–119
DOI: https://doi.org/10.33048/mattrudy.2023.26.105 (Mi mt690) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The area of surfaces on sub-Lorentzian structures of depth two

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Full-text PDF (345 kB) Citations (2)
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DOI: https://doi.org/10.33048/mattrudy.2023.26.105
Abstract: For contact mappings of Carnot groups of depth two whose image is endowed with a sub-Lorentzian structure, we prove local properties of the surfaces-images and explicitly deduce a sub-Lorentzian analog of the area formula. The result in particular also holds for Lipschitz mappings in the sub-Riemannian sense.
Key words: contact mapping, Carnot group, sub-Lorentzian structure, Hausdorff measure, area formula.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF–2022–0006
The work was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF–2022–0006).
Received: 17.01.2023
Revised: 01.02.2023
Accepted: 17.05.2023
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 3, Pages 214–229
DOI: https://doi.org/10.1134/S1055134423030069
Bibliographic databases:
Document Type: Article
UDC: 517.518.1
Language: Russian
Citation: M. B. Karmanova, “The area of surfaces on sub-Lorentzian structures of depth two”, Mat. Tr., 26:1 (2023), 93–119; Siberian Adv. Math., 33:3 (2023), 214–229
Citation in format AMSBIB
\Bibitem{Kar23}
\by M.~B.~Karmanova
\paper The area of surfaces on sub-Lorentzian structures of depth two
\jour Mat. Tr.
\yr 2023
\vol 26
\issue 1
\pages 93--119
\mathnet{http://mi.mathnet.ru/mt690}
\elib{https://elibrary.ru/item.asp?id=54901441}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 3
\pages 214--229
\crossref{https://doi.org/10.1134/S1055134423030069}
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    • This publication is cited in the following 2 articles:
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