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Bending of a piecewise developable surface

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Publication:741172
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DOI10.1134/S0081543811080086zbMath1297.53008MaRDI QIDQ741172

Mikhail Shtogrin

Publication date: 10 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

closed piecewise developable surfacesone-parameter bendingsstationary curvilinear edgestationary rectilinear generators


Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)


Related Items

The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ On flexible polyhedral surfaces



Cites Work

  • Unnamed Item
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  • Piecewise smooth developable surfaces
  • Bending of a developable surface that preserves its edge and generators
  • Some bendings of the long cylinder
  • The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary triangulated convex surfaces
  • A new example of a flexible polyhedron
  • Positivity of curvature and convexity of faces
  • Möbius strips with flat metrics
  • Special isometric transformations of a cone
  • Isometric immersions of a cone and a cylinder
  • Special isometric transformations of a cylinder
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