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Tr. Mat. Inst. Steklova, 2011, Volume 275, Pages 144–166 (Mi tm3335)  

This article is cited in 3 scientific papers (total in 3 papers)

Bending of a piecewise developable surface

M. I. Shtogrin

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

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.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2011, 275, 133–154

Bibliographic databases:

UDC: 514.752.43
Received in February 2011

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, Tr. Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 144–166; Proc. Steklov Inst. Math., 275 (2011), 133–154

Citation in format AMSBIB
\Bibitem{Sht11}
\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 Tr. Mat. Inst. Steklova
\yr 2011
\vol 275
\pages 144--166
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3335}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2962975}
\elib{http://elibrary.ru/item.asp?id=17238820}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2011
\vol 275
\pages 133--154
\crossref{https://doi.org/10.1134/S0081543811080086}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856461625}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. M. I. Shtogrin, “On flexible polyhedral surfaces”, Proc. Steklov Inst. Math., 288 (2015), 153–164  mathnet  crossref  crossref  isi  elib
    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
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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