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

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

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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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
2. I. Kh. Sabitov, “The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research”, Trans. Moscow Math. Soc., 77 (2016), 149–175
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