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Sbornik: Mathematics, 1998, Volume 189, Issue 1, Pages 115–127
DOI: https://doi.org/10.1070/sm1998v189n01ABEH000297
(Mi sm297)
 

This article is cited in 7 scientific papers (total in 7 papers)

Isometric transformations of a surface inducing conformal maps of the surface onto itself

I. Kh. Sabitov

M. V. Lomonosov Moscow State University
References:
Abstract: We consider isometries of a surface inducing, via a specific scheme, conformal maps of the surface onto itself. We give a complete description of the surfaces that admit isometries corresponding to identity conformal maps. For the general case we provide several results and state some unsolved problems.
Received: 31.01.1997
Bibliographic databases:
UDC: 513.7
MSC: Primary 53A05; Secondary 53A30
Language: English
Original paper language: Russian
Citation: I. Kh. Sabitov, “Isometric transformations of a surface inducing conformal maps of the surface onto itself”, Sb. Math., 189:1 (1998), 115–127
Citation in format AMSBIB
\Bibitem{Sab98}
\by I.~Kh.~Sabitov
\paper Isometric transformations of a~surface inducing conformal maps of the~surface onto itself
\jour Sb. Math.
\yr 1998
\vol 189
\issue 1
\pages 115--127
\mathnet{http://mi.mathnet.ru//eng/sm297}
\crossref{https://doi.org/10.1070/sm1998v189n01ABEH000297}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0032220855}
Linking options:
  • https://www.mathnet.ru/eng/sm297
  • https://doi.org/10.1070/sm1998v189n01ABEH000297
  • https://www.mathnet.ru/eng/sm/v189/i1/p119
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:658
    Russian version PDF:591
    English version PDF:31
    References:100
    First page:3
     
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