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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 4, Pages 887–893 (Mi smj1338)  
This article is cited in 1 scientific paper (total in 1 paper)

Discrete and nondiscrete isometric deformations of surfaces in $\mathbb R^3$

R. Sa Earpa, E. Toubianab

a Universidade de São Paulo, Instituto de Matemática e Estatística
b Université Paris VII – Denis Diderot
Full-text PDF (196 kB) Citations (1)
Abstract: We prove existence of closed infinitely differentiable surfaces $M$ of $\mathbb R^3$ each of which can be included in some family $F$ of isometric pairwise noncongruent infinitely differentiable surfaces which is uniformly as close as we want to $M$. We also prove that $F$ can be more than countable.
Keywords: isometric deformation, closed isometric surfaces, Gaussian curvature.
Received: 31.05.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 4, Pages 714–718
DOI: https://doi.org/10.1023/A:1016384521524
Bibliographic databases:
UDC: 513.7
Language: Russian
Citation: R. Sa Earp, E. Toubiana, “Discrete and nondiscrete isometric deformations of surfaces in $\mathbb R^3$”, Sibirsk. Mat. Zh., 43:4 (2002), 887–893; Siberian Math. J., 43:4 (2002), 714–718
Citation in format AMSBIB
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\by R.~Sa Earp, E.~Toubiana
\paper Discrete and nondiscrete isometric deformations of surfaces in $\mathbb R^3$
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 4
\pages 887--893
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\zmath{https://zbmath.org/?q=an:1021.53002}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 4
\pages 714--718
\crossref{https://doi.org/10.1023/A:1016384521524}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000177460300013}
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  • https://www.mathnet.ru/eng/smj/v43/i4/p887
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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