Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2003, Volume 74, Issue 5, Pages 752–761
DOI: https://doi.org/10.4213/mzm308 (Mi mzm308) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Seven Classes of Harmonic Diffeomorphisms

S. E. Stepanova, I. G. Shandrab

a Vladimir State Pedagogical University
b Finance Academy under the Government of the Russian Federation
Full-text PDF (236 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm308
Abstract: We deduce two necessary and sufficient conditions for a diffeomorphism $f\ :M\to\overline M$ of a Riemannian manifold $(M,g)$ onto a Riemannian manifold $(\overline M,\bar g)$ to be harmonic. Using the representation theory of groups, we define in an intrinsic way seven classes of such harmonic diffeomorphisms and partly describe the geometry of each class.
Received: 20.12.2001
Revised: 05.06.2003
English version:
Mathematical Notes, 2003, Volume 74, Issue 5, Pages 708–716
DOI: https://doi.org/10.1023/B:MATN.0000009004.63465.da
Bibliographic databases:
UDC: 514.764.25
Language: Russian
Citation: S. E. Stepanov, I. G. Shandra, “Seven Classes of Harmonic Diffeomorphisms”, Mat. Zametki, 74:5 (2003), 752–761; Math. Notes, 74:5 (2003), 708–716
Citation in format AMSBIB
\Bibitem{SteSha03}
\by S.~E.~Stepanov, I.~G.~Shandra
\paper Seven Classes of Harmonic Diffeomorphisms
\jour Mat. Zametki
\yr 2003
\vol 74
\issue 5
\pages 752--761
\mathnet{http://mi.mathnet.ru/mzm308}
\crossref{https://doi.org/10.4213/mzm308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2042834}
\zmath{https://zbmath.org/?q=an:1126.53312}
\elib{https://elibrary.ru/item.asp?id=13418002}
\transl
\jour Math. Notes
\yr 2003
\vol 74
\issue 5
\pages 708--716
\crossref{https://doi.org/10.1023/B:MATN.0000009004.63465.da}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000187966900012}
Linking options:
  • https://www.mathnet.ru/eng/mzm308
  • https://doi.org/10.4213/mzm308
  • https://www.mathnet.ru/eng/mzm/v74/i5/p752
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025