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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 R4

Armen G. Sergeev

Steklov Mathematical Institute, Gubkina, 8, Moscow, 119991, Russia
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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 R4”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 449–454
Citation in format AMSBIB
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\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
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\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}
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    • This publication is cited in the following 1 articles:
    1. Li Ding Huang, “The Adiabatic Limit of Fu—Yau Equations”, Acta. Math. Sin.-English Ser., 38:7 (2022), 1255  crossref
    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"
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