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Izvestiya: Mathematics, 2007, Volume 71, Issue 5, Pages 1049–1078
DOI: https://doi.org/10.1070/IM2007v071n05ABEH002376 (Mi im541) 		 
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
English version PDF (478 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM2007v071n05ABEH002376
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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2007, Volume 71, Issue 5, Pages 197–224
DOI: https://doi.org/10.4213/im541
Bibliographic databases:
UDC: 513.73
MSC: 52B70, 53A04, 53A05, 53A07, 53A99, 53A10, 53B20, 53C40, 53C42, 57M25, 57M99, 57R40, 57R42, 58D10
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v71/i5/p197
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:917
    Russian version PDF:600
    English version PDF:34
    References:65
    First page:21
     
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