Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2015, Volume 97, Issue 1, Pages 129–141
DOI: https://doi.org/10.4213/mzm10572 (Mi mzm10572) 		 
This article is cited in 15 scientific papers (total in 15 papers)

The Moutard Transformation of Two-Dimensional Dirac Operators and Möbius Geometry

I. A. Taimanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (527 kB) Citations (15)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10572
Abstract: We describe the action of inversion on given Weierstrass representations for surfaces and show that the Moutard transformation of two-dimensional Dirac operators maps the potential (the Weierstrass representation) of a surface $S$ to the potential of a surface $\widetilde{S}$ obtained from $S$ by inversion.
Keywords: Moutard transformation, two-dimensional Dirac operator, Möbius geometry, inversion, Weierstrass representation for surfaces, conformal immersion of a domain.
Funding agency Grant number
Russian Science Foundation 14-11-00441
This work was supported by the Russian Science Foundation (grant no. 14-11-00441).
Received: 06.08.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 1, Pages 124–135
DOI: https://doi.org/10.1134/S0001434615010149
Bibliographic databases:
Document Type: Article
UDC: 514.76+517.95
Language: Russian
Citation: I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and Möbius Geometry”, Mat. Zametki, 97:1 (2015), 129–141; Math. Notes, 97:1 (2015), 124–135
Citation in format AMSBIB
\Bibitem{Tai15}
\by I.~A.~Taimanov
\paper The Moutard Transformation of Two-Dimensional Dirac Operators and M\"obius Geometry
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 1
\pages 129--141
\mathnet{http://mi.mathnet.ru/mzm10572}
\crossref{https://doi.org/10.4213/mzm10572}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370500}
\zmath{https://zbmath.org/?q=an:06459060}
\elib{https://elibrary.ru/item.asp?id=23421501}
\transl
\jour Math. Notes
\yr 2015
\vol 97
\issue 1
\pages 124--135
\crossref{https://doi.org/10.1134/S0001434615010149}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000350557000014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84941651129}
Linking options:
  • https://www.mathnet.ru/eng/mzm10572
  • https://doi.org/10.4213/mzm10572
  • https://www.mathnet.ru/eng/mzm/v97/i1/p129
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:740
    Full-text PDF :231
    References:112
    First page:77
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024