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Trudy Matematicheskogo Instituta imeni V.A. 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
Full-text PDF (175 kB) Citations (2)
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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.
Received in January 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 266, Pages 251–259
DOI: https://doi.org/10.1134/S0081543809030158
Bibliographic databases:
Document Type: Article
UDC: 514.752.43
Language: Russian
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, Trudy 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 Trudy Mat. Inst. Steklova
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\vol 266
\pages 263--271
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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