Moscow Mathematical Journal
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


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2003, Volume 3, Number 2, Pages 419–438
DOI: https://doi.org/10.17323/1609-4514-2003-3-2-419-438 (Mi mmj93) 		 
This article is cited in 37 scientific papers (total in 37 papers)

Geometry of the triangle equation on two-manifolds

I. A. Dynnikova, S. P. Novikovbc

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
c University of Maryland
Full-text PDF Citations (37)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2003-3-2-419-438
URL: https://www.ams.org/distribution/mmj/vol3-2-2003/abst3-2-2003.html#dynnikov-novikov_abstract
Abstract: A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time, we started studying first-order difference “black-and-white triangle operators (equations)” on triangulated surfaces with a black-and-white coloring of triangles. In the present work, we develop a theory of these operators and equations showing their similarity to the complex derivatives $\partial$ and $\bar\partial$.
Key words and phrases: Discrete connection, discrete analog of complex derivatives, triangle equation, first order difference operator.
Received: September 5, 2002
Bibliographic databases:
Document Type: Article
MSC: 39A12 (39A70)
Language: English
Citation: I. A. Dynnikov, S. P. Novikov, “Geometry of the triangle equation on two-manifolds”, Mosc. Math. J., 3:2 (2003), 419–438
Citation in format AMSBIB
\Bibitem{DynNov03}
\by I.~A.~Dynnikov, S.~P.~Novikov
\paper Geometry of the triangle equation on two-manifolds
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 2
\pages 419--438
\mathnet{http://mi.mathnet.ru/mmj93}
\crossref{https://doi.org/10.17323/1609-4514-2003-3-2-419-438}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2025267}
\zmath{https://zbmath.org/?q=an:1046.39016}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594200006}
\elib{https://elibrary.ru/item.asp?id=8379108}
Linking options:
  • https://www.mathnet.ru/eng/mmj93
  • https://www.mathnet.ru/eng/mmj/v3/i2/p419
    • Related presentations:
    This publication is cited in the following 37 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025