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Matematicheskie Trudy, 2023, Volume 26, Number 2, Pages 138–161
DOI: https://doi.org/10.33048/mattrudy.2023.26.207 (Mi mt683) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Lipschitz images of open sets on sub-Lorentzian structures

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Full-text PDF (351 kB) Citations (4) English version article
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DOI: https://doi.org/10.33048/mattrudy.2023.26.207
Abstract: We prove a sub-Lorentzian analog of the area formula for intrinsically Lipschitz mappings of open subsets of Carnot groups of arbitrary depth with a sub-Lorentzian structure introduced on the image space.
Key words: sub-Riemannian quasimetric, open set, Lipschitz 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 study was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (project no. FWNF–2022–0006).
Received: 05.08.2023
Revised: 28.09.2023
Accepted: 05.10.2023
English version:
Siberian Advances in Mathematics, 2024, Volume 34, Issue 1, Pages 67–79
DOI: https://doi.org/10.1134/S1055134424010036
Document Type: Article
UDC: 517.518.1
Language: Russian
Citation: M. B. Karmanova, “Lipschitz images of open sets on sub-Lorentzian structures”, Mat. Tr., 26:2 (2023), 138–161; Siberian Adv. Math., 34:1 (2024), 67–79
Citation in format AMSBIB
\Bibitem{Kar23}
\by M.~B.~Karmanova
\paper Lipschitz images of open sets on sub-Lorentzian structures
\jour Mat. Tr.
\yr 2023
\vol 26
\issue 2
\pages 138--161
\mathnet{http://mi.mathnet.ru/mt683}
\transl
\jour Siberian Adv. Math.
\yr 2024
\vol 34
\issue 1
\pages 67--79
\crossref{https://doi.org/10.1134/S1055134424010036}
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    		Математические труды Siberian Advances in Mathematics
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