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An attack on rigidity. I, II


Author: Robert Connelly
Journal: Bull. Amer. Math. Soc. 81 (1975), 566-569
MSC (1970): Primary 53C40, 53A05, 53C99
DOI: https://doi.org/10.1090/S0002-9904-1975-13739-6
MathSciNet review: 0388288
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  • 1. A. D. Alexandrov, Convex polyhedra, GITTL, Moscow, 1950; German transl., Math Lehrbücher und Monographien. Forschungsinstitut für Math. II. Abteilung: Math. Monographien, Band VIII, Akademie-Verlag, Berlin, 1958. MR 12, 732; 19, 1192. MR 2127379
  • 2. A. Cauchy, Sur les polygones et polyedres, Second Mémoire, J. École Polytechnique 9 (1813).
  • 3. S. S. Chern, Topics in differential geometry, Inst, for Advanced Study, Princeton, N. J., 1951. MR 19, 764. MR 90080
  • 4. M. Dehn, Über die Starrheit konvexe Polyeder, Math. Ann. 77 (1916), 466-473. MR 1511873
  • 5. H. Gluck, Almost all simply connected closed surfaces are rigid (preprint). MR 400239
  • 6. G. Herglotz, Über die Starrheit der Eiflächen, Abh. Math. Sem. Univ. Hamburg 15, (1943), 127-129. MR 7, 322. MR 14714
  • 7. L. Nirenberg, Rigidity of a class of closed surfaces, Nonlinear Problems (Proc. Sympos. Madison, Wis., 1962), Univ. of Wisconsin Press, Madison, Wis., 1963, pp. 177-193. MR 27 #697. MR 150705
  • 8. A. V. Pogorelov, Extrinsic geometry of convex surfaces, "Nauka", Moscow, 1969; English transl., Transl. Math. Monographs, vol. 35, Amer. Math. Soc. Providence, R. I., 1973. MR 39 #6222. MR 346714
  • 9. J. J. Stoker, Jr., Geometrical problems concerning polyhedra in the large, Comm. Pure Appl. Math. 21 (1968), 119-168. MR 36 #5815. MR 222765
  • 10. R. Bricard, Mémoire sur la theórie de l'octaèdre articulé, J. Math. Pures Appl. (5) (1897), 113-148.
  • 11. G. T. Bennett, Deformable octahedra, Proc. London Math. Soc. (2) 10 (1912), 309-343.
  • 12. A. Kokotsakis, Über bewegliche Polyeder, Math. Ann. 107 (1933), 627-647. MR 1512819
  • 13. H. Lebesgue, Octaèdres articulés de Bricard, Enseignement Math. (2) 13 (1967), 175-185 (1968). MR 38 #2664. MR 234347

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DOI: https://doi.org/10.1090/S0002-9904-1975-13739-6

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