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Mathematics of the USSR-Sbornik, 1976, Volume 30, Issue 3, Pages 361–372
DOI: https://doi.org/10.1070/SM1976v030n03ABEH002279 (Mi sm2907) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonbendability of closed surfaces of genus $p\geqslant1$ and positive extrinsic curvature

V. T. Fomenko, S. B. Klimentov
English version PDF (782 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1976v030n03ABEH002279
Abstract: This paper contains a proof of the unbendability of a closed surface of genus $p>1$ and positive extrinsic curvature in a $3$-dimensional Riemannian space, and the unbendability of a closed surface of genus $p=1$ and positive extrinsic curvature in a Riemannian space when one point of the surface is fixed.
Bibliography: 8 titles.
Received: 09.01.1976
Bibliographic databases:
UDC: 513.81
MSC: Primary 53C45; Secondary 53C20
Language: English
Original paper language: Russian
Citation: V. T. Fomenko, S. B. Klimentov, “Nonbendability of closed surfaces of genus $p\geqslant1$ and positive extrinsic curvature”, Math. USSR-Sb., 30:3 (1976), 361–372
Citation in format AMSBIB
\Bibitem{FomKli76}
\by V.~T.~Fomenko, S.~B.~Klimentov
\paper Nonbendability of closed surfaces of genus $p\geqslant1$ and positive extrinsic curvature
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 3
\pages 361--372
\mathnet{http://mi.mathnet.ru//eng/sm2907}
\crossref{https://doi.org/10.1070/SM1976v030n03ABEH002279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=442861}
\zmath{https://zbmath.org/?q=an:0335.53050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FN58700006}
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  • https://doi.org/10.1070/SM1976v030n03ABEH002279
  • https://www.mathnet.ru/eng/sm/v143/i3/p402
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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