Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 42–46
DOI: https://doi.org/10.31857/S2686954320010154 (Mi danma30) 		 
MATHEMATICS

Metric properties of graphs on Carnot–Carathéodory spaces with sub-Lorentzian structure

M. B. Karmanova

Novosibirsk State University, Novosibirsk, Russian Federation
Full-text PDF (297 kB)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320010154
Abstract: The notion of a sub-Lorentzian structure with multidimensional time on Carnot–Carathéodory spaces is introduced. It is proved that classes of graph surfaces are spacelike, and a sub-Lorentzian analogue of the area formula is proved.
Keywords: Carnot–Carathéodory space, polynomial $hc$-differential, intrinsic sub-Lorentzian measure, area formula.
Funding agency Grant number
Novosibirsk State University
Presented: Yu. G. Reshetnyak
Received: 14.05.2019
Revised: 14.05.2019
Accepted: 06.11.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 36–39
DOI: https://doi.org/10.1134/S1064562420010159
Bibliographic databases:
Document Type: Article
UDC: 517.518.1+514.7
Language: Russian
Citation: M. B. Karmanova, “Metric properties of graphs on Carnot–Carathéodory spaces with sub-Lorentzian structure”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 42–46; Dokl. Math., 101:1 (2020), 36–39
Citation in format AMSBIB
\Bibitem{Kar20}
\by M.~B.~Karmanova
\paper Metric properties of graphs on Carnot--Carath\'eodory spaces with sub-Lorentzian structure
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 490
\pages 42--46
\mathnet{http://mi.mathnet.ru/danma30}
\crossref{https://doi.org/10.31857/S2686954320010154}
\zmath{https://zbmath.org/?q=an:1480.53045}
\elib{https://elibrary.ru/item.asp?id=42579056}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 1
\pages 36--39
\crossref{https://doi.org/10.1134/S1064562420010159}
Linking options:
  • https://www.mathnet.ru/eng/danma30
  • https://www.mathnet.ru/eng/danma/v490/p42
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024