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, 2019, Volume 60, Number 2, Pages 391–400
DOI: https://doi.org/10.33048/smzh.2019.60.210 (Mi smj3082) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation

M. B. Karmanova

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (298 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2019.60.210
Abstract: We obtain the metric properties of level sets of certain sufficiently smooth mappings of two-step Carnot groups which are Hölder in the sub-Riemannian sense. In particular, we calculate the Hausdorff dimension of these sets and prove a coarea formula of a new type.
Keywords: two-step Carnot group, level set, Hausdorff dimension, coarea formula.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60036_мол_а_дк
The author was supported by the Russian Foundation for Basic Research (Grant 16-31-60036-mol-a-dk).
Received: 10.10.2017
Revised: 21.04.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 2, Pages 304–311
DOI: https://doi.org/10.1134/S0037446619020101
Bibliographic databases:
Document Type: Article
UDC: 514.7+517.4
Language: Russian
Citation: M. B. Karmanova, “Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation”, Sibirsk. Mat. Zh., 60:2 (2019), 391–400; Siberian Math. J., 60:2 (2019), 304–311
Citation in format AMSBIB
\Bibitem{Kar19}
\by M.~B.~Karmanova
\paper Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation
\jour Sibirsk. Mat. Zh.
\yr 2019
\vol 60
\issue 2
\pages 391--400
\mathnet{http://mi.mathnet.ru/smj3082}
\crossref{https://doi.org/10.33048/smzh.2019.60.210}
\elib{https://elibrary.ru/item.asp?id=38677133}
\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 2
\pages 304--311
\crossref{https://doi.org/10.1134/S0037446619020101}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000465640100010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064823710}
Linking options:
  • https://www.mathnet.ru/eng/smj3082
  • https://www.mathnet.ru/eng/smj/v60/i2/p391
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025