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, 2016, Volume 100, Issue 6, Pages 868–880
DOI: https://doi.org/10.4213/mzm11360 (Mi mzm11360) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Moutard Transformation of Two-Dimensional Dirac Operators and the Conformal Geometry of Surfaces in Four-Dimensional Space

R. M. Matueva, I. A. Taimanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (507 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11360
Abstract: The Moutard transformation for the two-dimensional Dirac operator with complex-valued potential is constructed. It is shown that this transformation binds the potentials of Weierstrass representations of the surfaces related by the composition of inversion and reflection with respect to the axis. An explicit analytic example of a transformation leading to the appearance of double points on the spectral curve of the Dirac operator is described analytically.
Keywords: two-dimensional Dirac operator, Moutard transformation, Weierstrass representation, inversion, Floquet functions, spectral curve.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 3485/ГФ4
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan under grant 3485/GF4.
Received: 29.08.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 835–846
DOI: https://doi.org/10.1134/S0001434616110237
Bibliographic databases:
Document Type: Article
UDC: 514.76+517.95
Language: Russian
Citation: R. M. Matuev, I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and the Conformal Geometry of Surfaces in Four-Dimensional Space”, Mat. Zametki, 100:6 (2016), 868–880; Math. Notes, 100:6 (2016), 835–846
Citation in format AMSBIB
\Bibitem{MatTai16}
\by R.~M.~Matuev, I.~A.~Taimanov
\paper The Moutard Transformation of Two-Dimensional Dirac Operators and the Conformal Geometry of Surfaces in Four-Dimensional Space
\jour Mat. Zametki
\yr 2016
\vol 100
\issue 6
\pages 868--880
\mathnet{http://mi.mathnet.ru/mzm11360}
\crossref{https://doi.org/10.4213/mzm11360}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588911}
\elib{https://elibrary.ru/item.asp?id=27484944}
\transl
\jour Math. Notes
\yr 2016
\vol 100
\issue 6
\pages 835--846
\crossref{https://doi.org/10.1134/S0001434616110237}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391490500023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85007038174}
Linking options:
  • https://www.mathnet.ru/eng/mzm11360
  • https://doi.org/10.4213/mzm11360
  • https://www.mathnet.ru/eng/mzm/v100/i6/p868
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024