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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 144–166 (Mi tm3335)  
This article is cited in 5 scientific papers (total in 5 papers)

Bending of a piecewise developable surface

M. I. Shtogrin

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (290 kB) Citations (5)
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Abstract: We substantiate in detail the possibility of one-parameter bending of a developable surface possessing a stationary curvilinear edge and stationary rectilinear generators. We construct particular examples of developable surfaces that possess a curvilinear edge and admit one-parameter bendings. We also give examples of closed piecewise developable surfaces that admit one-parameter bendings.
Received in February 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 275, Pages 133–154
DOI: https://doi.org/10.1134/S0081543811080086
Bibliographic databases:
Document Type: Article
UDC: 514.752.43
Language: Russian
Citation: M. I. Shtogrin, “Bending of a piecewise developable surface”, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 144–166; Proc. Steklov Inst. Math., 275 (2011), 133–154
Citation in format AMSBIB
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\by M.~I.~Shtogrin
\paper Bending of a~piecewise developable surface
\inbook Classical and modern mathematics in the wake of Boris Nikolaevich Delone
\bookinfo Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth
\serial Trudy Mat. Inst. Steklova
\yr 2011
\vol 275
\pages 144--166
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2011
\vol 275
\pages 133--154
\crossref{https://doi.org/10.1134/S0081543811080086}
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Linking options:
  • https://www.mathnet.ru/eng/tm3335
  • https://www.mathnet.ru/eng/tm/v275/p144
    • This publication is cited in the following 5 articles:
    1. Nabil ALTHİBANY, “Generalized Cylinder with Geodesic and Line of Curvature Parameterizations”, Fundamental Journal of Mathematics and Applications, 5:2 (2022), 106  crossref
    2. Nabil ALTHİBANY, “Construction of Developable Surface with Geodesic or Line of Curvature Coordinates”, Journal of New Theory, 2021, no. 36, 75  crossref
    3. I. Kh. Sabitov, “The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research”, Trans. Moscow Math. Soc., 77 (2016), 149–175  mathnet  crossref  elib
    4. M. I. Shtogrin, “On flexible polyhedral surfaces”, Proc. Steklov Inst. Math., 288 (2015), 153–164  mathnet  crossref  crossref  isi  elib
    5. M. I. Shtogrin, “A flexible disk with a handle”, Russian Math. Surveys, 68:5 (2013), 951–953  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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