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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 2, Pages 281–287
DOI: https://doi.org/10.1070/SM1982v041n02ABEH002234 (Mi sm2797) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On harmonic mappings of Riemann surfaces and fibered manifolds

A. I. Pluzhnikov
English version PDF (567 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1982v041n02ABEH002234
Abstract: This paper contains a new criterion for mappings of Riemannian manifolds to be harmonic and (as a consequence) new proofs of earlier results on harmonic mappings of closed compact Riemann surfaces. It also contains a theorem that establishes necessary and sufficient conditions that a homomorphism of Riemannian fibrations should be harmonic, in terms of mappings of the fibers and a quotient mapping of the bases of the fibrations.
Bibliography: 11 titles.
Received: 12.11.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 2(10), Pages 339–347
Bibliographic databases:
UDC: 519.3
MSC: 53C21, 57R35
Language: English
Original paper language: Russian
Citation: A. I. Pluzhnikov, “On harmonic mappings of Riemann surfaces and fibered manifolds”, Mat. Sb. (N.S.), 113(155):2(10) (1980), 339–347; Math. USSR-Sb., 41:2 (1982), 281–287
Citation in format AMSBIB
\Bibitem{Plu80}
\by A.~I.~Pluzhnikov
\paper On harmonic mappings of Riemann surfaces and fibered manifolds
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 2(10)
\pages 339--347
\mathnet{http://mi.mathnet.ru/sm2797}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=594842}
\zmath{https://zbmath.org/?q=an:0484.58016|0462.58015}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 2
\pages 281--287
\crossref{https://doi.org/10.1070/SM1982v041n02ABEH002234}
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  • https://www.mathnet.ru/eng/sm/v155/i2/p339
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:212
    Russian version PDF:78
    English version PDF:2
    References:30
     
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