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Matematicheskie Trudy, 2012, Volume 15, Number 2, Pages 3–29 (Mi mt233)  
This article is cited in 4 scientific papers (total in 4 papers)

Parametrizations of level surfaces of real-valued mappings of Carnot groups

S. G. Basalaev

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (319 kB) Citations (4)
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Abstract: We study the regularity of the parametrizations of level surfaces of continuously horizontally differentiable real-valued mappings of Carnot groups. Equations that describe a regular hypersurface in terms of parametrizations are obtained.
Key words: Carnot group, level surface.
Received: 06.12.2011
English version:
Siberian Advances in Mathematics, 2013, Volume 23, Issue 3, Pages 155–174
DOI: https://doi.org/10.3103/S1055134413030012
Bibliographic databases:
Document Type: Article
UDC: 517.518.182
Language: Russian
Citation: S. G. Basalaev, “Parametrizations of level surfaces of real-valued mappings of Carnot groups”, Mat. Tr., 15:2 (2012), 3–29; Siberian Adv. Math., 23:3 (2013), 155–174
Citation in format AMSBIB
\Bibitem{Bas12}
\by S.~G.~Basalaev
\paper Parametrizations of level surfaces of real-valued mappings of Carnot groups
\jour Mat. Tr.
\yr 2012
\vol 15
\issue 2
\pages 3--29
\mathnet{http://mi.mathnet.ru/mt233}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3074452}
\elib{https://elibrary.ru/item.asp?id=18076200}
\transl
\jour Siberian Adv. Math.
\yr 2013
\vol 23
\issue 3
\pages 155--174
\crossref{https://doi.org/10.3103/S1055134413030012}
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    • 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
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:308
    Full-text PDF :176
    References:60
    First page:7
     
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