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Matematicheskie Zametki, 1973, Volume 13, Issue 3, Pages 427–429 (Mi mzm7139)  

This article is cited in 2 scientific papers (total in 2 papers)

Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space

A. B. Ivanov

Moscow Region Pedagogical Instityte
Full-text PDF (225 kB) Citations (2)
Abstract: In this article we consider the problem of isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space. For each of the possible topological types the corresponding minimal dimension of the extending Euclidean space is indicated.
Received: 10.12.1971
English version:
Mathematical Notes, 1973, Volume 13, Issue 3, Pages 258–259
DOI: https://doi.org/10.1007/BF01155667
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: A. B. Ivanov, “Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space”, Mat. Zametki, 13:3 (1973), 427–429; Math. Notes, 13:3 (1973), 258–259
Citation in format AMSBIB
\Bibitem{Iva73}
\by A.~B.~Ivanov
\paper Isometric imbedding of a~complete two-dimensional locally Euclidean manifold in a~Euclidean space
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 3
\pages 427--429
\mathnet{http://mi.mathnet.ru/mzm7139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=322752}
\zmath{https://zbmath.org/?q=an:0266.53044|0265.53048}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 3
\pages 258--259
\crossref{https://doi.org/10.1007/BF01155667}
Linking options:
  • https://www.mathnet.ru/eng/mzm7139
  • https://www.mathnet.ru/eng/mzm/v13/i3/p427
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:260
    Full-text PDF :108
    First page:1
     
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