Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 5, Pages 7–10 (Mi vmumm895)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Möbius strips with flat metrics

A. V. Slovesnov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (328 kB) Citations (1)
Abstract: This work is focused on flat Möbius strips. The first section presents some results related to asymptotic parametrization of such surfaces. The second section contains studies on thier deflectivity. It is proved that any analytic embedding of a rectangular strip into the Euclidian 3-space is a flexible surface. This result is illustrated by numerical examples.
Key words: Möbius strip, asymptotic parametrization, sliding isometry.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation РНП 2.1.1.7988
Received: 28.04.2008
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: A. V. Slovesnov, “Möbius strips with flat metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 5, 7–10
Citation in format AMSBIB
\Bibitem{Slo09}
\by A.~V.~Slovesnov
\paper M\"obius strips with flat metrics
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 5
\pages 7--10
\mathnet{http://mi.mathnet.ru/vmumm895}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664545}
\zmath{https://zbmath.org/?q=an:1304.53005}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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