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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009 Number 5, Pages 7–10 (Mi vmumm895)

This article is cited in 1 paper

Mathematics

Möbius strips with flat metrics

A. V. Slovesnov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 514.7

Received: 28.04.2008



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