Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 4, Pages 449–454
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-449-454 (Mi jsfu782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$

Armen G. Sergeev

Steklov Mathematical Institute, Gubkina, 8, Moscow, 119991, Russia
Full-text PDF (112 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-449-454
Abstract: Our goal is to present an approach to the proof of the harmonic spheres conjecture based on the adiabatic limit construction. This construction allows to associate with an arbitrary Yang–Mills $G$-field on the Euclidean 4-dimensional space a harmonic map of the Riemann sphere to the loop space of the group $G$.
Keywords: Yang–Mills fields, loop spaces, adiabatic limit, harmonic maps.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 16-52-12012_м_а
18-51-41011_Узб_т
While preparing this paper the author was partially supported by the RFBR grants 16-52-12012, 18-51-41011 and the Program of Presidium of RAS "Nonlinear Dynamics".
Received: 17.10.2018
Received in revised form: 16.01.2019
Accepted: 06.04.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Armen G. Sergeev, “Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 449–454
Citation in format AMSBIB
\Bibitem{Ser19}
\by Armen~G.~Sergeev
\paper Adiabatic limit in Yang--Mills equations in $\mathbb{R}^4$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 4
\pages 449--454
\mathnet{http://mi.mathnet.ru/jsfu782}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-4-449-454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3998067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000483323900007}
Linking options:
  • https://www.mathnet.ru/eng/jsfu782
  • https://www.mathnet.ru/eng/jsfu/v12/i4/p449
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:193
    Full-text PDF :45
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024