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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 57, Number 1, Pages 45–54 (Mi tmf2237)  

This article is cited in 9 scientific papers (total in 9 papers)

Symmetries, conservation laws, and exact solutions in nonlinear sigma models

G. G. Ivanov
Full-text PDF (517 kB) Citations (9)
References:
Abstract: Nonlinear four-dimensional $\sigma$ models interacting with the gravitational field are considered. On the basis of the connection between the groups of isometric motions of the space-time $V_4$ and the space $V_N$ of values of the chiral field exact solutions are obtained for the Einstein and chiral-field equations for spherical and plane symmetry. The conserved currents associated with the presence of the isometric motions in $V_N$ are constructed.
Received: 03.01.1983
English version:
Theoretical and Mathematical Physics, 1983, Volume 57, Issue 1, Pages 981–987
DOI: https://doi.org/10.1007/BF01028173
Bibliographic databases:
Language: Russian
Citation: G. G. Ivanov, “Symmetries, conservation laws, and exact solutions in nonlinear sigma models”, TMF, 57:1 (1983), 45–54; Theoret. and Math. Phys., 57:1 (1983), 981–987
Citation in format AMSBIB
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\by G.~G.~Ivanov
\paper Symmetries, conservation laws, and exact solutions in nonlinear sigma models
\jour TMF
\yr 1983
\vol 57
\issue 1
\pages 45--54
\mathnet{http://mi.mathnet.ru/tmf2237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=726538}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 57
\issue 1
\pages 981--987
\crossref{https://doi.org/10.1007/BF01028173}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SR12800006}
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  • https://www.mathnet.ru/eng/tmf/v57/i1/p45
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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