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A counterexample to the rigidity conjecture for polyhedra. (English) Zbl 0375.53034


MSC:

53C40 Global submanifolds
53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)
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References:

[1] R. Bricard, Mémoire sur la théorie de l’octaèdre articulé,J. Math. Pures Appl. (5),3 (1897), 113–148. · JFM 28.0624.01
[2] A. L. Cauchy, Sur les polygones et polyèdres, Second Mémoire,J. École Polytechnique,19 (1813), 87–98.
[3] R. Connelly, An immersed polyhedral surface which flexes,Indiana University Math. J.,25 (1976), 965–972. · Zbl 0342.57008
[4] R. Connelly, The rigidity of suspensions, to appear in theJournal of Differential Topology.
[5] H. Gluck, Almost all simply connected closed surfaces are rigid,Lecture Notes in Math. 438,Geometric Topology, Springer-Verlag (1975), 225–239.
[6] N. H. Kuiper, On C1-isometric imbeddings,Indag. Math. XVII (1954), 545–556 and 683–689. · Zbl 0067.39601
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