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Contemporary Mathematics. Fundamental Directions, 2006, Volume 16, Pages 136–145 (Mi cmfd52)  
Harmonic maps into loop spaces of compact Lie groups

A. G. Sergeev

Steklov Mathematical Institute, Russian Academy of Sciences
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Abstract: We study harmonic maps from Riemann surfaces $M$ to the loop spaces $\Omega G$ of compact Lie groups $G$, using the twistor approach. Harmonic maps into loop spaces are of a special interest because of their relation to the Yang–Mills equations on $\mathbb R^4$.
English version:
Journal of Mathematical Sciences, 2008, Volume 149, Issue 5, Pages 1608–1617
DOI: https://doi.org/10.1007/s10958-008-0084-2
Bibliographic databases:
Document Type: Article
UDC: 517.972+514.7+517.55
Language: Russian
Citation: A. G. Sergeev, “Harmonic maps into loop spaces of compact Lie groups”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 2, CMFD, 16, PFUR, M., 2006, 136–145; Journal of Mathematical Sciences, 149:5 (2008), 1608–1617
Citation in format AMSBIB
\Bibitem{Ser06}
\by A.~G.~Sergeev
\paper Harmonic maps into loop spaces of compact Lie groups
\inbook Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2005). Part~2
\serial CMFD
\yr 2006
\vol 16
\pages 136--145
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd52}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336449}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 149
\issue 5
\pages 1608--1617
\crossref{https://doi.org/10.1007/s10958-008-0084-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920842160}
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