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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 61–64
DOI: https://doi.org/10.31857/S2686954320020137 (Mi danma51) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320020137
Abstract: We consider $C^1$-functions defined on two-step Carnot groups with a sub-Lorentzian structure defined by one horizontal direction with a negative squared length along it, and prove a nonholonomic coarea formula. A result of interest in itself concerns the correctness of the problem statement, namely, the level sets have to be spacelike.
Keywords: two-step Carnot group, sub-Lorentzian structure, level set, sub-Lorentzian measure, coarea formula.
Funding agency Grant number
Mathematical Center in Akademgorodok 075-15-2019-1613
This work was supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Presented: Yu. G. Reshetnyak
Received: 02.12.2019
Revised: 02.12.2019
Accepted: 21.01.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 129–131
DOI: https://doi.org/10.1134/S1064562420020131
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.4+514.7
Language: Russian
Citation: M. B. Karmanova, “Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 61–64; Dokl. Math., 101:2 (2020), 129–131
Citation in format AMSBIB
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\by M.~B.~Karmanova
\paper Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 491
\pages 61--64
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\crossref{https://doi.org/10.31857/S2686954320020137}
\zmath{https://zbmath.org/?q=an:1480.53046}
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\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 2
\pages 129--131
\crossref{https://doi.org/10.1134/S1064562420020131}
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