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This article is cited in 16 scientific papers (total in 16 papers)
Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces
I. Kh. Sabitov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We establish formulae for isometric embeddings and
immersions of Möbius bands with a locally Euclidean metric and study
extrinsic geometric properties of these surfaces. We consider
both standard Möbius bands corresponding to embeddings of
a rectangular Möbius strip and general Möbius bands, in particular,
those with generators orthogonal to the directrix.
Received: 01.09.2005 Revised: 12.08.2006
Citation:
I. Kh. Sabitov, “Isometric immersions and embeddings of a flat Möbius strip in Euclidean spaces”, Izv. RAN. Ser. Mat., 71:5 (2007), 197–224; Izv. Math., 71:5 (2007), 1049–1078
Linking options:
https://www.mathnet.ru/eng/im541https://doi.org/10.1070/IM2007v071n05ABEH002376 https://www.mathnet.ru/eng/im/v71/i5/p197
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Abstract page: | 917 | Russian version PDF: | 600 | English version PDF: | 34 | References: | 65 | First page: | 21 |
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