Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 4 scientific papers (total in 4 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 (4)
References:
PDF
HTML
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}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 485--508
\crossref{https://doi.org/10.1134/S0037446622030090}
Linking options:
  • https://www.mathnet.ru/eng/smj7679
  • https://www.mathnet.ru/eng/smj/v63/i3/p587
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Ñèáèðñêèé ìàòåìàòè÷åñêèé æóðíàë Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025