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Tr. Mat. Inst. Steklova, 2009, Volume 266, Pages 263–271 (Mi tm1881)  

This article is cited in 2 scientific papers (total in 2 papers)

Bending of a Developable Surface That Preserves Its Edge and Generators

M. I. Shtogrin

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

Abstract: We consider the problem of reconstructing a piecewise smooth developable surface with a curvilinear edge from its development on which the preimages of the curvilinear edge and all rectilinear generators of the surface that emanate from the points of this edge are given. The required developable surface admits a one-parameter bending in the ambient Euclidean 3-space, and this bending is presented explicitly by formulas.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2009, 266, 251–259

Bibliographic databases:

UDC: 514.752.43
Received in January 2009

Citation: M. I. Shtogrin, “Bending of a Developable Surface That Preserves Its Edge and Generators”, Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 266, MAIK Nauka/Interperiodica, Moscow, 2009, 263–271; Proc. Steklov Inst. Math., 266 (2009), 251–259

Citation in format AMSBIB
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\paper Bending of a~Developable Surface That Preserves Its Edge and Generators
\inbook Geometry, topology, and mathematical physics.~II
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2009
\vol 266
\pages 263--271
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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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, “Bending of a piecewise developable surface”, Proc. Steklov Inst. Math., 275 (2011), 133–154  mathnet  crossref  mathscinet  isi  elib  elib
    2. 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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