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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 84–89 (Mi ivm8597)  
The Berger–Ebin theorem and harmonic maps and flows

S. E. Stepanov

Chair of Mathematics, Financial University at the Government of the Russian Federation, Moscow, Russia
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Abstract: The goal of this paper is the geometrization of the Berger–Ebin theorem. We use this theorem for studying harmonic maps and flows, in particular, the Ricci solitons. Moreover, we explain the role of a vector field in the corresponding expansions.
Keywords: Berger–Ebin theorem, harmonic maps and flows, infinitesimal harmonic transforms.
Received: 11.04.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 4, Pages 70–74
DOI: https://doi.org/10.3103/S1066369X12040093
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
Citation: S. E. Stepanov, “The Berger–Ebin theorem and harmonic maps and flows”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 84–89; Russian Math. (Iz. VUZ), 56:4 (2012), 70–74
Citation in format AMSBIB
\Bibitem{Ste12}
\by S.~E.~Stepanov
\paper The Berger--Ebin theorem and harmonic maps and flows
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 4
\pages 84--89
\mathnet{http://mi.mathnet.ru/ivm8597}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3076544}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 4
\pages 70--74
\crossref{https://doi.org/10.3103/S1066369X12040093}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862740104}
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