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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 234, Pages 190–200 (Mi znsl3638)  
This article is cited in 3 scientific papers (total in 3 papers)

Harmonic maps and harmonic morphisms

J. C. Wood

University of Leeds, G.B.
Full-text PDF (539 kB) Citations (3)
Abstract: A harmonic morphism is a map between Riemannian manifolds which preserves Laplace's equation. We compare the properties of harmonic morphisms with those of the better known harmonic maps, seeing that they behave in some ways “dual” to the latter. In particular, we give representation theorems for harmonic morphisms in low dimensions which suggest that the equations might be soluble in some cases by integrable-system techniques in a similar way to that used in harmonic map theory. Bibl. 38 titles.
Received: 20.10.1992
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 2, Pages 1263–1269
DOI: https://doi.org/10.1007/BF02364883
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: English
Citation: J. C. Wood, “Harmonic maps and harmonic morphisms”, Differential geometry, Lie groups and mechanics. Part 15–1, Zap. Nauchn. Sem. POMI, 234, POMI, St. Petersburg, 1996, 190–200; J. Math. Sci. (New York), 94:2 (1999), 1263–1269
Citation in format AMSBIB
\Bibitem{Woo96}
\by J.~C.~Wood
\paper Harmonic maps and harmonic morphisms
\inbook Differential geometry, Lie groups and mechanics. Part~15--1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 234
\pages 190--200
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856086}
\zmath{https://zbmath.org/?q=an:0932.58021}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 2
\pages 1263--1269
\crossref{https://doi.org/10.1007/BF02364883}
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  • https://www.mathnet.ru/eng/znsl/v234/p190
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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