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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
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 1, Pages 119–132
DOI: https://doi.org/10.4213/sm297
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”, Mat. Sb., 189:1 (1998), 119–132; Sb. Math., 189:1 (1998), 115–127
Citation in format AMSBIB
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\paper Isometric transformations of a~surface inducing conformal maps of the~surface onto itself
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\pages 119--132
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\pages 115--127
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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:649
    Russian version PDF:586
    English version PDF:27
    References:98
    First page:3
     
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